We'd love to integrate with WooCommerce. Unfortunately their app store is currently closed to new submissions, and has been for some time. As soon as that changes we'll explore an integration there.
Here's everything you need to know: https://docs.woocommerce.com/document/marketplace-overview/
Shameless plug: Anyone else reading this that develops in the eCommerce space, now's your chance to get in on the ground floor of the WooCommerce open marketplace.
(Disclaimer: I work on WooCommerce)