add_action( 'wp_ajax_parse_shortcode_metabox', 'parse_shortcode_metabox' );
add_action( 'wp_ajax_nopriv_parse_shortcode_metabox', 'parse_shortcode_metabox' );

function parse_shortcode_metabox() {
	if( isset( $_POST ) ) {
		$shortcode = $_POST['shortcode'];
		echo do_shortcode( $shortcode );
	}
	die();
}

add_action( 'wp_footer', function() {
	?>
	<script type="text/javascript">
		jQuery(document).ready(function($) {
			// Find your button class
			$('.your-button-class').on('click', function(e) {
				e.preventDefault();
				var url = $(this).attr('href');
				var shortcode = url.substring(
				    url.indexOf("=") + 1,
				);

				$.ajax({
					url: '<?php echo site_url() . '/wp-admin/admin-ajax.php'; ?>',
					type: 'POST',
					data: {
						'shortcode': shortcode,
						'action': 'parse_shortcode_metabox'
					},
				})
				.success(function(response) {
					// Redirect to URL with shortcode parsed value
					window.location.replace('http://your-site-url.com/?your_parameter=' + response);
				});

			})
		});
	</script>
	<?php
}, 0 );