I understand the issue you're having and will try my best to assist you in this matter.
It seems the stock defined for the variations hasn't been copied to the translated products which mainly caused the issue. Please try the following and I hope it will help to solve the issue. Before that, ensure that the products are fully translated.
- Please go to "WooCommerce > WooCommerce Multilingual > Status" tab
- Scroll down and click on the "Troubleshooting" link
- From the troubleshooting page, select the options marked in this screenshot(hidden link) and click on "Start"
Please let me know how it goes. I will be happy to help if you need further assistance in this matter.