Important Note: Endpoints are now included with the Contact Form 7 plugin as of version 4.7. I only recommend working with this code if you are using an older version of Contact Form 7.
Here's the changelog: https://contactform7.com/2017/03/03/contact-form-7-47/ Here's the code: https://github.com/ohze/wp-contact-form-7/blob/master/includes/rest-api.php
Contact Form 7 endpoints for the WP REST API v2
Get All Forms:
GET /wp-json/wpcf7/v1/forms
Get Single Form:
GET /wp-json/wpcf7/v1/forms/(?P<id>[\d]+)
Create Form:
POST /wp-json/wpcf7/v1/forms
Update Form:
PUT /wp-json/wpcf7/v1/forms/(?P<id>[\d]+)
PATCH /wp-json/wpcf7/v1/forms/(?P<id>[\d]+)
Delete Form:
TODO