@scruffypuppy - This not a solution I would recommend to anyone. The link gives PHP code to disable all of Contact Form 7's Javascript. It does stop the arrow spinnning bit it's a purely cosmetic change which achieves nothing. You might as well let the arrow spin.
Importantly it doesn't deal with the core issue which is Javascript conflict in your theme or one of your other plugins. Javascript conflicts can be very difficult to solve - see see Solving CF7 Javascript Conflicts for some guidance.