Because we used frequent flier miles to get to Rome, we ended up with a 9 hours layover during the day in Zurich. The price of saving money!
It is easy to get to the city of Zurich from the airport. A train gets you to the city center in about 40 minutes. You can devise a walking tour that includes the old town, a couple of churches, bridges over the river, and the Stadt museum that would take a few hours and see the city and have lunch.
This proved a bit too much for us. We took the train downtown and did walk around a bit but we were too exhausted to enjoy it. We had been flying for over 14 hours (including changing planes in Dallas) and we didn't sleep on the way out. So we headed back to the airport and looked for a place to sleep. We came across the "dayrooms".
A dayroom is like a little hostel room right in the airport. For about $60.00 we got a room with twin beds for about 4 hours of sleep. A great 4 hours of sleep! The dayrooms seem to be popular with parents with babys to get a rest, but the noise didn't penetrate too much into our room and we were tired enought it didn't matter.
After our sleep we were off to Rome to arrive by the evening.