diff --git a/plugins/woocommerce/changelog/fix-anonymize-customer b/plugins/woocommerce/changelog/fix-anonymize-customer
new file mode 100644
index 00000000000..82b4668282c
--- /dev/null
+++ b/plugins/woocommerce/changelog/fix-anonymize-customer
@@ -0,0 +1,4 @@
+Significance: patch
+Type: fix
+
+Make Admin\API\Reports\Customers\DataStore::anonymize_customer accept an order instance as a parameter to ensure compatibility with the `woocommerce_privacy_remove_order_personal_data` hook. 
diff --git a/plugins/woocommerce/includes/class-wc-privacy-erasers.php b/plugins/woocommerce/includes/class-wc-privacy-erasers.php
index 69cba905dce..3d43ff6052d 100644
--- a/plugins/woocommerce/includes/class-wc-privacy-erasers.php
+++ b/plugins/woocommerce/includes/class-wc-privacy-erasers.php
@@ -357,7 +357,7 @@ class WC_Privacy_Erasers {
 		 * Allow extensions to remove their own personal data for this order.
 		 *
 		 * @since 3.4.0
-		 * @param WC_Order $order A customer object.
+		 * @param WC_Order $order Order instance.
 		 */
 		do_action( 'woocommerce_privacy_remove_order_personal_data', $order );
 	}
diff --git a/plugins/woocommerce/src/Admin/API/Reports/Customers/DataStore.php b/plugins/woocommerce/src/Admin/API/Reports/Customers/DataStore.php
index fac1fdaa961..e13ed41c47c 100644
--- a/plugins/woocommerce/src/Admin/API/Reports/Customers/DataStore.php
+++ b/plugins/woocommerce/src/Admin/API/Reports/Customers/DataStore.php
@@ -913,14 +913,18 @@ class DataStore extends ReportsDataStore implements DataStoreInterface {
 	 * Anonymize the customer data for a single order.
 	 *
 	 * @internal
-	 * @param int $order_id Order id.
+	 * @param int|WC_Order $order Order instance or ID.
 	 * @return void
 	 */
-	public static function anonymize_customer( $order_id ) {
+	public static function anonymize_customer( $order ) {
 		global $wpdb;
 
+		if ( ! is_object( $order ) ) {
+			$order = wc_get_order( absint( $order ) );
+		}
+
 		$customer_id = $wpdb->get_var(
-			$wpdb->prepare( "SELECT customer_id FROM {$wpdb->prefix}wc_order_stats WHERE order_id = %d", $order_id )
+			$wpdb->prepare( "SELECT customer_id FROM {$wpdb->prefix}wc_order_stats WHERE order_id = %d", $order->get_id() )
 		);
 
 		if ( ! $customer_id ) {