I did this on H1-B. Your employer may or may not need to change the "statistical zone" where you are working if you move around, because salaries need to match

I did this on H1-B. Your employer may or may not need to change the "statistical zone" where you are working if you move around, because salaries need to match it. A work location change is an easy H1-B amendment but you need to file it, and it may also reset your greencard application on some cases. You should really talk to your employer about it, they will need a lawyer.