I haven't travelled with my pets internationally before, but my thoughts would be that it would be fairly difficult. The reason I say that, is often there's a period of quarantine restriction when bringing animals from different countries - just to make sure there is no disease transmission and things like that. Depending on the duration of your vacation, your pet could very possibly be in quarantine the entire time.
Possibly someone else might have direct experience with this sort of thing, but for me personally I would try and see if a friend or family member could watch my pet while I was away.