The Cloudinary & WooCommerce integration process is pretty straightforward.
When migrating your assets from a WordPress Media Library to Cloudinary, all URLs previously embedded in your WooCommerce store will be seamlessly updated.
Furthermore, during the process of building a new Product page via the Add product section, you can directly embed images from your Cloudinary Media Library. When selecting this option, you should see a 3rd tab named Cloudinary, that will show your Cloudinary Media Library. You can select the asset then click on the Insert button. The asset will be uploaded to your WordPress Media Library then you can click on Select to add it to your post.
Also, since the 2.5.0 version, you can now use the Cloudinary Product Gallery to replace the WooCommerce Gallery. You can find more details on how to set it up in the 2nd video here.