Don't listen to those Swissair-haters. They are mostly former Crossair-Pilots who really got treated very badly in the downturns of Swissair.
Switzerland and its airlines have a long tradition of working together with all kind of nationalities. There are 25% foreigners living within its borders, and everyday there are more. That's why its economy is booming so much at the time (even during the international recession).
Swissair hired foreign pilots long before every other airline did. There are a few shortcomings for the Swiss job (for example pay), but I would give it a try.
Dani