Here are the diffs for the necessary modification to allow the contact form 7 scripts to be relocated by other plugins (such as footer-js) or whatever. In other words, the proper way to embed JavaScript from a plugin… Especially since this script depends on JQuery!

Index: /contact-form-7/wp-contact-form-7.php
===================================================================
--- /plugins/contact-form-7/wp-contact-form-7.php	(revision 117548)
+++ /plugins/contact-form-7/wp-contact-form-7.php	(working copy)
@@ -693,7 +693,6 @@
 };
 //]]>
 </script>
-<script type='text/javascript' src='<?php echo $javascript_url; ?>'></script>
 <?php
 		}
 	}
@@ -1179,8 +1178,9 @@
 		}

 		$javascript_url = WPCF7_PLUGIN_URL . '/contact-form-7.js';
+		wp_enqueue_script('wp-contact-form-7',$javascript_url,array('jquery'));
 ?>
-<script type='text/javascript' src='<?php echo $javascript_url; ?>'></script>
+
 <?php
 	}

http://wordpress.org/extend/plugins/contact-form-7/