In reply to Borek Bernard.

I don't know if you would want to spend time on that, though. The vast majority of users who have their WP site on shared hosting are not using any type of VCS. Since that really is the main point of the plugin, from what I can see, to integrate with Git, not sure why that would be something worth pursuing.

By the way, there are many Git clients and wrappers for PHP: https://packagist.org/search/?q=git