Ethnio is quite compatible with any third party tag management systems. In fact, we love when customers use a tag management tool, because it adds an elegant and redundant fail-safe to our elegant and redundant fail-safes. And that's what the internet is all about. Below is a screenshot of a standard GTM setup, and there are no known issues or tricks to putting our JS into any tag manager.
Specific Ensighten & Tealium Tips