nicaq25,
The nationality is not an issue here, he was a human being and that is the issue!
No, the gym does not have direct liability but they must employ qualified trainers (who know CPR and first aid) and they musty train them on how to act in case of occurrence of incidents like this one (likely to happen in gyms).
Failure to employ qualified trainers and/or failure to provide them adequate training may qualify them as negligent and not suitable for public use.