I only wish the European airlines were as accommodating to American pilots in Europe as the US airlines are to the European pilots
They are, if you have the unrestricted right to work and stay there and speak the relevant language. There might be still operational restrictions though. For example our US pilots and canadians are not allowed to fly to russia, only those with a german passport are allowed. The company has to plan around that, but is used to do that, no big deal. We employ quite a few "foreign" pilots now, one of our us citizens made it even into the executive council of the countries pilot union and is responsible for international relations. How many foreign pilots are in the executive council of ALPA?