You can get housing, you have to trade money for time and commute with the (frequent and reliable) public transportation.

Meanwhile the parlement and the anti+immigration far-right vote all the time to increase landlord rights and margins. Most of them are landlords, of course...

I mean, Kt. ZH also had the Wohnungsinitiative today, because not even Swiss people can find housing in ZH anymore.

Let’s be realistic and admit that landlords already prioritize someone with history of renting in the country and it’s pretty fair to say that new immigrants will struggle to get housing. Even if you come on a FAANG salary, you will not be able to buy your way in that easily.