How do I make Contact Form 7 pop up in thickbox? [closed]

A solution I can think of is creating an almost empty page template that contains the bare minimum header, body (your shortcode) and footer.

Create a page with this template and load iFramed.

Like:

<?php
/**
 * Template Name: Almost Empty Page for Thickbox
 */

// REPLACE THIS get_header WITH THE CONTENTS OF THE FILE header.php
// AND CLEAN UP EVERYTHING THAT'S NOT NEEDED
get_header(); 
?>
    <div id="container" class="one-column">
        <div id="content" role="main">
        <?php
            do_shortcode(); // YOUR SHORTCODE
        ?>
        </div>
    </div>
<?php 
// REPLACE THIS get_footer WITH THE CONTENTS OF THE FILE footer.php AND CLEAN UP
get_footer(); ?>