This plugin is 100% compatible with WPML.
This means you will be able to get different badges on the same product, according to the language the users are using.
To create a different copy of the badge for one of the languages configured using WPML, access the badge edit page, select the language and click on the “duplicate” button.
From the edit page of the translated badge, you will be able to configure/edit the badge as you usually would.
You can apply the badge to the translated copy of the product by selecting the parent badge both from the product edit page or when creating the badge rules.