WhatConverts is able to easily track form submissions through almost any web form. This allows you to manage leads, quotes, sales and contact submissions in one central place. WhatConverts also tracks phone calls, web chats and ecommerce transactions.

You can track Contact Form 7 forms with the standard method of adding a form in your WhatConverts Dashboard.

Troubleshooting Contact Form 7 plugin for WhatConverts Tracking.

Contact Form 7 plugin hides the Form Name and ID of a form on a published web page. We need one of these unique identifiers to track form submissions.

You can add any “ID” and “Class” to a Contact-form-7 form by adding the “html_id” and “html_class attributes” into a [contact-form-7 404 "Not Found"] shortcode.

Example:

[contact-form-7 id="1234" title="Contact form 1" html_id="contact-form-1234" html_class="form contact-form"]
Source: FAQ from Contactform7.com