I disagree with the previous posters that your flight will arrive to Italy in the morning or midday.
That opinion reflects an EasternUScentric view of the world of some frequent posters here.
Those of us on the west coast know better. If you take a flight from the West Coast directly to Europe, rather than via the Eastern U.S. Hubs, you will arrive in Italy in the afternoon or evening. For example last month I flew Lufthansa SFO-MUC-FLR and I arrived at Florence on time at 8:50pm. When I fly SFO-ZRH-FLR with Swiss I get to Florence even later. That's because direct flights from the West Coast to Europe depart from the West Coast in the afternoon or evening and arrive to Northern European hubs in the afternoon. By the time you catch your second leg flight to Italy, it's late afternoon or evening already (there are no non stop flights from the West Coast to Italy, except for a seasonal Alitalia flight from LAX to FCO).
I prefer to arrive at my destination in Italy in the evening, because I'm tired (I can't sleep on planes) and therefore I'm ready to go to sleep. If I arrive when it's bed time, it works perfectly for me.
If you connect through a Eastern U.S. Hub, such as JFK or ATL, you will probably arrive to Italy in the morning or midday. That doesn't work well with me because although I feel like going to bed, I still have several hours of the day before it is time to go to bed. Of course I could take an afternoon nap, but that generally messes my jet lag even more. So good luck! Everybody is different.