IIIiW on "[Plugin: Contact Form 7] The spinning arrow is spinning all the time (update)"

I had the same problem describing in http://wordpress.org/support/topic/plugin-contact-form-7-the-spinning-arrow-is-spinning-all-the-time?replies=36
Unfortunatelly the topic has been closed so I thought to post an answer for other users that faced the same issue currently. I am using Wordpress Version 3.6 and the latest version of Contact Form.
After quite a lot of searching I have just changed PHP version to 5.2.17 and the issue appears to be resolved.

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