Trigger a Link once a new post is Published

1- Just use jquery on form submit.

jQuery(document).ready(function ($) {
    //default wordpress new post form id = #post
    $("#post").submit(function () {
        $.ajax({
            url: "http://YOUR URL",
            success: function (response) {
                console.log("CALL OK!");
            },
            error: function () {
                console.log("CALL FAILED!");
            }
        });
    });
});

2- Put this code inside your theme: make new file, put the code above inside and save it in your theme dir. for example “this_is_my_scripts.js”

3- load your script file into admin. Put this code inside functions.php of your theme:

function custom_js_enqueue() {
    wp_enqueue_script( 'my_custom_script', get_template_directory_uri() . '/this_is_my_script.js' );
}
add_action( 'admin_enqueue_scripts', 'custom_js_enqueue' );