Hi there, I hold a B permit and I'm not from an EU country. I've had no problems changing jobs and moving homes from one canton to the next. Never had to reapply for any permits, the only thing I had to do was register and de-register at the Gemeindes. I was told by a recruitment agent that most B-permits are transferably after two years. But it's best to get one to check for you, they just need your number. It's certainly possible. I've never had any questions asked. ~ Nanda.