I can how to create a web form using the Zoho Support web to ticket form builder, but how can I integrate it with Wordpress?

We currently use Contact 7 to build our Wordpress contact form, but it only seems to support emailing the contact data to create a support ticket. 

Having a proper web to ticket form would allow for better tickets to be generated. 

Is there a Zoho Support wordpress form plugin? What would you recommend? Would the Zoho CRM wordpress plugins work?