Read that again: "They can have anyone from the EU" (with no need for visas)
That's 510 Million people - take 65Mi out when the UK leaves but that's still a bigger number (Google gives a total European population if you google that, but that's a wrong number)
The typical procedure for getting a permit to Switzerland is to first move there and when you live there you go get it automatically at your nearest office, you will never get rejected as long as you have a job.