woocommerce_product_quick_edit_save hook not fired

I found what was the problem.

the code with actions were wrapped bu this following code :

global pagenow;
if ( $pagenow === "edit.php" && isset( $_GET['post_type'] ) ){}

When there is an ajax call, $pagenow === admin-ajax.php and $_GET === [ ["_fs_blog_admin"]=> string(4) "true" ] so that could not be fired.