The local vet in Thalwil would be:
Kleintierpraxis
Dr. med. vet. Bruno Litschi
Böhnirainstrasse 10
8800 Thalwil
Tel. +41 (0) 44 720 00 11
Why not try to call and listen to what the emergency facilities are before traipsing into Zurich. There may be a closer alternative.
Good luck and our three Bassets are slinging some healing drool your way...