International transit by flights? Not affected much if any by Chinese New Year, so if you are just going to transit one city for a few hours or a day, then it doesn't really matter. Many sights will be closed on Feb 10. And it will be noisy from Feb 9 through Feb 24-25. If your "transit" is actually an extended stopover, then I suggest trying to complete it before Feb 8, or arrive after Feb 17. Note that you may need a visa, depending on where you are entering/exiting and how long this "transit" (or stopover) is.
If you are not conducting business or trying to hold meetings during this time, there is no need to be concerned about factory shutdowns, office closures, and the like. Banks will be closed for a few days to one week after the 10th, so if coming during this time frame, make sure when you arrive, that you get RMB at the airport ATM's or exchange foreign bank notes for RMB. Cash machines get emptied quickly during long holidays and are not filled promptly.