I am a user of OS X, and would like to sync my Android device with iTunes.
I still use an iPhone and have a bunch of existing podcasts, and sometimes I use desktop to listen to podcasts, so two-way synchronization of files as well as progress would be quite useful. By progress I refer to time as well as whether an episode was completed. There is no need to sync with iOS devices directly; syncing with desktop iTunes on OS X is perfectly fine.
Any app that I found so far that even has sync apparently can sync only with itself on Android and iOS, but not with iTunes; or else it can import audio files from iTunes, ignoring progress.