On snowy days there may be a "Kettenpflicht" on some roads.
Symbol is this one:
But in most cases, if you have an 4x4, it's not required.
Here you can know if there's a "Kettenpflicht" before hitting the road:
http://strassen.gr.ch/sites/strassenzustand/karte.html
Purple marked roads require snow-chains.
Remember you can not drive above 50 kmph with snow-chains. Remember to remove them before entering the speedway. Don't be
this guy.
If you're renting a car, the car should include snow-chains in the baggage. At least Mobility cars have 'em.