What determines open or closed permit B

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Non-EU Permit B without free movement

An employer-linked aka „Closed B“ does not allow you to find another Swiss employer. If you want to continue work in Switzerland, your future employer needs to sponsor a new closed B permit - aka an exception approval and and thereby proof that they can’t recruit adequate resources from within Switzerland or the EU. That is very unlikely to happen. To make things even worse - closed B‘s can only be renewed after a „cool-down period“ of 12 months. So the new employer would first need to recruit …