Will a feed through on and off switch work with a fluorescent light?
Yes, that should be just fine. Most switches on fixtures - whether a rocker or pushbutton or pull chain - simply switch the hot wire closed (on)/open (off). If that's the case, you can install an ordinary switch in the hot wire going to the light.
However, I have had some old fluorescent light fixtures with a pushbutton switch where the switch would be held on for a couple of seconds to start the light - literally triggering the fluorescent starter. On most fluorescent fixtures, the starter and ballast all magically work together, in which case an external switch will work just fine.