一种常见的方法是在tmpl-attachment-details 模板：

// See wp_print_media_templates() in "wp-includes/media-template.php"
function wpse157297_print_media_templates() {
    $my_link = \'<a class="my_link-attachment" href="my_link.php?url={{ data.url }}" target="_blank">\' . __( \'My Link\' ) . \'</a>\';
    $nonimage = \'<# if ( "image" !== data.type && ! data.uploading ) { #>\' . $my_link . \'<# } #>\';
    $image = $my_link;
?>
<script>
(function ($) {
    var tmpl_attachment_details = $(\'#tmpl-attachment-details\'), html = tmpl_attachment_details.html();
    tmpl_attachment_details.html(
        html.replace( /<div class="uploaded">[^<]*<\\/div>/, \'$&<?php echo $nonimage; ?>\' ).replace( \'<a class="edit-attachment"\', \'<?php echo $image; ?>$&\' )
    );
})(jQuery);
</script>
<?php
}
add_action( \'print_media_templates\', \'wpse157297_print_media_templates\', 11 );