Dear Vigilant Driver,
Chances of getting hired by a Swiss airline may not be so limited as you think.
I got recently hired by Crossair, and I'm not a Swiss citizen. It is logical that they would like to employ their national pilots first, but they are also expanding and have a hard time finding suitable candidate-pilots.
I would like to suggest that you write / call them again, and again, and again.......'till you WILL be invited. However, you DO have to speak one of the Swiss languages: German, French or Italian.
Cheers mate.
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- I hate to wake up and find my co-pilot asleep -