diff --git a/packages/eslint-plugin/docs/rules/no-floating-promises.mdx b/packages/eslint-plugin/docs/rules/no-floating-promises.mdx
index e3f047e6e4f0..c3d051151d6f 100644
--- a/packages/eslint-plugin/docs/rules/no-floating-promises.mdx
+++ b/packages/eslint-plugin/docs/rules/no-floating-promises.mdx
@@ -176,6 +176,44 @@ returnsSafePromise();
 </TabItem>
 </Tabs>
 
+### `allowForKnownSafeCalls`
+
+This option allows marking specific functions as "safe" to be called to create floating Promises.
+For example, you may need to do this in the case of libraries whose APIs may be called without handling the resultant Promises.
+
+This option takes the same array format as [`allowForKnownSafePromises`](#allowForKnownSafePromises).
+
+Examples of code for this rule with:
+
+```json
+{
+  "allowForKnownSafeCalls": [
+    { "from": "file", "name": "safe", "path": "input.ts" }
+  ]
+}
+```
+
+<Tabs>
+<TabItem value="❌ Incorrect">
+
+```ts option='{"allowForKnownSafeCalls":[{"from":"file","name":"safe","path":"input.ts"}]}'
+declare function unsafe(...args: unknown[]): Promise<void>;
+
+unsafe('...', () => {});
+```
+
+</TabItem>
+<TabItem value="✅ Correct">
+
+```ts option='{"allowForKnownSafeCalls":[{"from":"file","name":"safe","path":"input.ts"}]}' skipValidation
+declare function safe(...args: unknown[]): Promise<void>;
+
+safe('...', () => {});
+```
+
+</TabItem>
+</Tabs>
+
 ## When Not To Use It
 
 This rule can be difficult to enable on large existing projects that set up many floating Promises.
diff --git a/packages/eslint-plugin/src/rules/no-floating-promises.ts b/packages/eslint-plugin/src/rules/no-floating-promises.ts
index 1ae5e602ae0e..ad25d241be55 100644
--- a/packages/eslint-plugin/src/rules/no-floating-promises.ts
+++ b/packages/eslint-plugin/src/rules/no-floating-promises.ts
@@ -19,6 +19,7 @@ type Options = [
     ignoreVoid?: boolean;
     ignoreIIFE?: boolean;
     allowForKnownSafePromises?: TypeOrValueSpecifier[];
+    allowForKnownSafeCalls?: TypeOrValueSpecifier[];
   },
 ];
 
@@ -85,6 +86,7 @@ export default createRule<Options, MessageId>({
             type: 'boolean',
           },
           allowForKnownSafePromises: readonlynessOptionsSchema.properties.allow,
+          allowForKnownSafeCalls: readonlynessOptionsSchema.properties.allow,
         },
         additionalProperties: false,
       },
@@ -96,6 +98,7 @@ export default createRule<Options, MessageId>({
       ignoreVoid: true,
       ignoreIIFE: false,
       allowForKnownSafePromises: readonlynessOptionsDefaults.allow,
+      allowForKnownSafeCalls: readonlynessOptionsDefaults.allow,
     },
   ],
 
@@ -103,8 +106,10 @@ export default createRule<Options, MessageId>({
     const services = getParserServices(context);
     const checker = services.program.getTypeChecker();
     // TODO: #5439
-    // eslint-disable-next-line @typescript-eslint/no-non-null-assertion
+    /* eslint-disable @typescript-eslint/no-non-null-assertion */
     const allowForKnownSafePromises = options.allowForKnownSafePromises!;
+    const allowForKnownSafeCalls = options.allowForKnownSafeCalls!;
+    /* eslint-enable @typescript-eslint/no-non-null-assertion */
 
     return {
       ExpressionStatement(node): void {
@@ -118,6 +123,10 @@ export default createRule<Options, MessageId>({
           expression = expression.expression;
         }
 
+        if (isKnownSafePromiseReturn(expression)) {
+          return;
+        }
+
         const { isUnhandled, nonFunctionHandler, promiseArray } =
           isUnhandledPromise(checker, expression);
 
@@ -197,6 +206,18 @@ export default createRule<Options, MessageId>({
       },
     };
 
+    function isKnownSafePromiseReturn(node: TSESTree.Node): boolean {
+      if (node.type !== AST_NODE_TYPES.CallExpression) {
+        return false;
+      }
+
+      const type = services.getTypeAtLocation(node.callee);
+
+      return allowForKnownSafeCalls.some(allowedType =>
+        typeMatchesSpecifier(type, allowedType, services.program),
+      );
+    }
+
     function isHigherPrecedenceThanUnary(node: ts.Node): boolean {
       const operator = ts.isBinaryExpression(node)
         ? node.operatorToken.kind
diff --git a/packages/eslint-plugin/tests/docs-eslint-output-snapshots/no-floating-promises.shot b/packages/eslint-plugin/tests/docs-eslint-output-snapshots/no-floating-promises.shot
index 44e303fc3131..e1f38e71fe3e 100644
--- a/packages/eslint-plugin/tests/docs-eslint-output-snapshots/no-floating-promises.shot
+++ b/packages/eslint-plugin/tests/docs-eslint-output-snapshots/no-floating-promises.shot
@@ -108,3 +108,25 @@ function returnsSafePromise(): SafePromise {
 returnsSafePromise();
 "
 `;
+
+exports[`Validating rule docs no-floating-promises.mdx code examples ESLint output 7`] = `
+"Incorrect
+Options: {"allowForKnownSafeCalls":[{"from":"file","name":"safe","path":"input.ts"}]}
+
+declare function unsafe(...args: unknown[]): Promise<void>;
+
+unsafe('...', () => {});
+~~~~~~~~~~~~~~~~~~~~~~~~ Promises must be awaited, end with a call to .catch, end with a call to .then with a rejection handler or be explicitly marked as ignored with the \`void\` operator.
+"
+`;
+
+exports[`Validating rule docs no-floating-promises.mdx code examples ESLint output 8`] = `
+"Correct
+Options: {"allowForKnownSafeCalls":[{"from":"file","name":"safe","path":"input.ts"}]}
+
+declare function safe(...args: unknown[]): Promise<void>;
+
+safe('...', () => {});
+~~~~~~~~~~~~~~~~~~~~~~ Promises must be awaited, end with a call to .catch, end with a call to .then with a rejection handler or be explicitly marked as ignored with the \`void\` operator.
+"
+`;
diff --git a/packages/eslint-plugin/tests/rules/no-floating-promises.test.ts b/packages/eslint-plugin/tests/rules/no-floating-promises.test.ts
index e6087e512265..d5d62eeddf56 100644
--- a/packages/eslint-plugin/tests/rules/no-floating-promises.test.ts
+++ b/packages/eslint-plugin/tests/rules/no-floating-promises.test.ts
@@ -698,6 +698,27 @@ myTag\`abc\`;
         { allowForKnownSafePromises: [{ from: 'file', name: 'SafePromise' }] },
       ],
     },
+    {
+      code: `
+        declare function it(...args: unknown[]): Promise<void>;
+
+        it('...', () => {});
+      `,
+      options: [
+        {
+          allowForKnownSafeCalls: [
+            {
+              from: 'file',
+              name: 'it',
+              // https://github.com/typescript-eslint/typescript-eslint/pull/9234/files#r1626465054
+              path: process.env.TYPESCRIPT_ESLINT_PROJECT_SERVICE
+                ? 'file.ts'
+                : 'tests/fixtures/file.ts',
+            },
+          ],
+        },
+      ],
+    },
     {
       code: `
 declare const myTag: (strings: TemplateStringsArray) => Promise<void>;
@@ -2181,5 +2202,71 @@ myTag\`abc\`;
       options: [{ allowForKnownSafePromises: [{ from: 'file', name: 'Foo' }] }],
       errors: [{ line: 4, messageId: 'floatingVoid' }],
     },
+    {
+      code: `
+        declare function unsafe(...args: unknown[]): Promise<void>;
+
+        unsafe('...', () => {});
+      `,
+      errors: [{ line: 4, messageId: 'floatingVoid' }],
+      options: [
+        {
+          allowForKnownSafeCalls: [
+            {
+              from: 'file',
+              name: 'it',
+              // https://github.com/typescript-eslint/typescript-eslint/pull/9234/files#r1626465054
+              path: process.env.TYPESCRIPT_ESLINT_PROJECT_SERVICE
+                ? 'file.ts'
+                : 'tests/fixtures/file.ts',
+            },
+          ],
+        },
+      ],
+    },
+    {
+      code: `
+        declare function it(...args: unknown[]): Promise<void>;
+
+        it('...', () => {}).then(() => {});
+      `,
+      errors: [{ line: 4, messageId: 'floatingVoid' }],
+      options: [
+        {
+          allowForKnownSafeCalls: [
+            {
+              from: 'file',
+              name: 'it',
+              // https://github.com/typescript-eslint/typescript-eslint/pull/9234/files#r1626465054
+              path: process.env.TYPESCRIPT_ESLINT_PROJECT_SERVICE
+                ? 'file.ts'
+                : 'tests/fixtures/file.ts',
+            },
+          ],
+        },
+      ],
+    },
+    {
+      code: `
+        declare function it(...args: unknown[]): Promise<void>;
+
+        it('...', () => {}).finally(() => {});
+      `,
+      errors: [{ line: 4, messageId: 'floatingVoid' }],
+      options: [
+        {
+          allowForKnownSafeCalls: [
+            {
+              from: 'file',
+              name: 'it',
+              // https://github.com/typescript-eslint/typescript-eslint/pull/9234/files#r1626465054
+              path: process.env.TYPESCRIPT_ESLINT_PROJECT_SERVICE
+                ? 'file.ts'
+                : 'tests/fixtures/file.ts',
+            },
+          ],
+        },
+      ],
+    },
   ],
 });
diff --git a/packages/eslint-plugin/tests/schema-snapshots/no-floating-promises.shot b/packages/eslint-plugin/tests/schema-snapshots/no-floating-promises.shot
index a708c7001d5b..b73c2638b92e 100644
--- a/packages/eslint-plugin/tests/schema-snapshots/no-floating-promises.shot
+++ b/packages/eslint-plugin/tests/schema-snapshots/no-floating-promises.shot
@@ -8,6 +8,100 @@ exports[`Rule schemas should be convertible to TS types for documentation purpos
   {
     "additionalProperties": false,
     "properties": {
+      "allowForKnownSafeCalls": {
+        "items": {
+          "oneOf": [
+            {
+              "type": "string"
+            },
+            {
+              "additionalProperties": false,
+              "properties": {
+                "from": {
+                  "enum": ["file"],
+                  "type": "string"
+                },
+                "name": {
+                  "oneOf": [
+                    {
+                      "type": "string"
+                    },
+                    {
+                      "items": {
+                        "type": "string"
+                      },
+                      "minItems": 1,
+                      "type": "array",
+                      "uniqueItems": true
+                    }
+                  ]
+                },
+                "path": {
+                  "type": "string"
+                }
+              },
+              "required": ["from", "name"],
+              "type": "object"
+            },
+            {
+              "additionalProperties": false,
+              "properties": {
+                "from": {
+                  "enum": ["lib"],
+                  "type": "string"
+                },
+                "name": {
+                  "oneOf": [
+                    {
+                      "type": "string"
+                    },
+                    {
+                      "items": {
+                        "type": "string"
+                      },
+                      "minItems": 1,
+                      "type": "array",
+                      "uniqueItems": true
+                    }
+                  ]
+                }
+              },
+              "required": ["from", "name"],
+              "type": "object"
+            },
+            {
+              "additionalProperties": false,
+              "properties": {
+                "from": {
+                  "enum": ["package"],
+                  "type": "string"
+                },
+                "name": {
+                  "oneOf": [
+                    {
+                      "type": "string"
+                    },
+                    {
+                      "items": {
+                        "type": "string"
+                      },
+                      "minItems": 1,
+                      "type": "array",
+                      "uniqueItems": true
+                    }
+                  ]
+                },
+                "package": {
+                  "type": "string"
+                }
+              },
+              "required": ["from", "name", "package"],
+              "type": "object"
+            }
+          ]
+        },
+        "type": "array"
+      },
       "allowForKnownSafePromises": {
         "items": {
           "oneOf": [
@@ -120,6 +214,23 @@ exports[`Rule schemas should be convertible to TS types for documentation purpos
 
 type Options = [
   {
+    allowForKnownSafeCalls?: (
+      | {
+          from: 'file';
+          name: [string, ...string[]] | string;
+          path?: string;
+        }
+      | {
+          from: 'lib';
+          name: [string, ...string[]] | string;
+        }
+      | {
+          from: 'package';
+          name: [string, ...string[]] | string;
+          package: string;
+        }
+      | string
+    )[];
     allowForKnownSafePromises?: (
       | {
           from: 'file';

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