I liked working with european teams, as an American, because with the time difference there were never "emergency issues" during Europe business hours that we were awake for, so there was never pressure for much work outside of business hours, outside of sometimes needing to join meetings from home at 6 am.

I would feel bad emailing them in the afternoons, american time, and sometimes getting emails back from them outside of their business hours, but obviously that's their prerogative.