diff --git a/src/wp-admin/edit-form-blocks.php b/src/wp-admin/edit-form-blocks.php
index a6d198ff15343..706bbc847b2ba 100644
--- a/src/wp-admin/edit-form-blocks.php
+++ b/src/wp-admin/edit-form-blocks.php
@@ -93,6 +93,7 @@ static function ( $classes ) {
 	'/?_fields=' . implode(
 		',',
 		array(
+			'animated_image_subsizes',
 			'description',
 			'gmt_offset',
 			'home',
diff --git a/src/wp-admin/site-editor.php b/src/wp-admin/site-editor.php
index 4289f89f7102c..d39cbd722a80f 100644
--- a/src/wp-admin/site-editor.php
+++ b/src/wp-admin/site-editor.php
@@ -219,6 +219,7 @@ static function ( $classes ) {
 	'/?_fields=' . implode(
 		',',
 		array(
+			'animated_image_subsizes',
 			'description',
 			'gmt_offset',
 			'home',
diff --git a/src/wp-includes/rest-api/class-wp-rest-server.php b/src/wp-includes/rest-api/class-wp-rest-server.php
index c331d73363541..c25890d974072 100644
--- a/src/wp-includes/rest-api/class-wp-rest-server.php
+++ b/src/wp-includes/rest-api/class-wp-rest-server.php
@@ -1398,6 +1398,27 @@ public function get_index( $request ) {
 			 */
 			/** This filter is documented in wp-includes/class-wp-image-editor-imagick.php */
 			$available['image_max_bit_depth'] = (int) apply_filters( 'image_max_bit_depth', 16, 16 );
+
+			/**
+			 * Filters whether sub-sizes of animated images should keep their animation.
+			 *
+			 * By default, sub-sizes of animated images (e.g. animated GIFs) are static,
+			 * generated from the first frame only. Re-encoding every frame per sub-size
+			 * is very resource intensive, so animated sub-sizes are opt-in.
+			 *
+			 * This currently only affects the client-side media processing path,
+			 * where all frames can be decoded and re-encoded in the browser. Only
+			 * uncropped sub-sizes keep their animation; cropped sizes (such as
+			 * `thumbnail`) are always generated from the first frame. Uploads that
+			 * take the server-side path also still produce static sub-sizes, as
+			 * neither GD nor Imagick resizing preserves animation in core.
+			 *
+			 * @since 7.2.0
+			 *
+			 * @param bool $animated_image_subsizes Whether to generate animated sub-sizes
+			 *                                      for animated images. Default false.
+			 */
+			$available['animated_image_subsizes'] = (bool) apply_filters( 'wp_generate_animated_image_subsizes', false );
 		}
 
 		$response = new WP_REST_Response( $available );
diff --git a/tests/phpunit/tests/rest-api/rest-server.php b/tests/phpunit/tests/rest-api/rest-server.php
index b8e8cc6f5adcb..b83bceb971e5e 100644
--- a/tests/phpunit/tests/rest-api/rest-server.php
+++ b/tests/phpunit/tests/rest-api/rest-server.php
@@ -1209,6 +1209,7 @@ public function test_get_index() {
 
 	/**
 	 * @ticket 64804
+	 * @ticket 65656
 	 *
 	 * @covers WP_REST_Server::get_index
 	 */
@@ -1230,10 +1231,13 @@ public function test_get_index_should_include_media_processing_settings(): void
 		$this->assertTrue( $data['image_strip_meta'] );
 		$this->assertArrayHasKey( 'image_max_bit_depth', $data );
 		$this->assertSame( 16, $data['image_max_bit_depth'] );
+		$this->assertArrayHasKey( 'animated_image_subsizes', $data );
+		$this->assertFalse( $data['animated_image_subsizes'] );
 	}
 
 	/**
 	 * @ticket 64804
+	 * @ticket 65656
 	 *
 	 * @covers WP_REST_Server::get_index
 	 */
@@ -1250,10 +1254,12 @@ public function test_get_index_should_not_include_media_processing_settings_with
 		$this->assertArrayNotHasKey( 'image_size_threshold', $data );
 		$this->assertArrayNotHasKey( 'image_strip_meta', $data );
 		$this->assertArrayNotHasKey( 'image_max_bit_depth', $data );
+		$this->assertArrayNotHasKey( 'animated_image_subsizes', $data );
 	}
 
 	/**
 	 * @ticket 64804
+	 * @ticket 65656
 	 *
 	 * @covers WP_REST_Server::get_index
 	 */
@@ -1267,6 +1273,7 @@ public function test_get_index_should_honor_media_processing_filters(): void {
 			'image_max_bit_depth',
 			static fn ( int $max_depth ) => min( 8, $max_depth )
 		);
+		add_filter( 'wp_generate_animated_image_subsizes', '__return_true' );
 
 		$server  = new WP_REST_Server();
 		$request = new WP_REST_Request( 'GET', '/' );
@@ -1275,6 +1282,7 @@ public function test_get_index_should_honor_media_processing_filters(): void {
 
 		$this->assertFalse( $data['image_strip_meta'] );
 		$this->assertSame( 8, $data['image_max_bit_depth'] );
+		$this->assertTrue( $data['animated_image_subsizes'] );
 	}
 
 	/**
diff --git a/tests/qunit/fixtures/wp-api-generated.js b/tests/qunit/fixtures/wp-api-generated.js
index 1b0eaac6cccd1..4011d78a1617f 100644
--- a/tests/qunit/fixtures/wp-api-generated.js
+++ b/tests/qunit/fixtures/wp-api-generated.js
@@ -13063,6 +13063,7 @@ mockedApiResponse.Schema = {
     "image_size_threshold": 2560,
     "image_strip_meta": true,
     "image_max_bit_depth": 16,
+    "animated_image_subsizes": false,
     "site_logo": 0,
     "site_icon": 0,
     "site_icon_url": ""