Godzilla
To see Godzilla in your dream, signifies feelings of being out of control. A certain situation is getting the best of you.
Dream Moods: Common Dreams: Godzilla in Kmart

I'm not sure if the Godzilla necessarily associates with Japan. It's interesting that Godzilla dreams are usually about being chased, and then being found out ("No matter where you hide or where you run, Godzilla seems to find you.") It could mean that you feel that a certain situation is getting out of hand, and your attempt at finding a solution is to hide, or run. It may be telling you that you need to confront whatever problem that you have at hand.

In conclusion, this dream may be telling you that it is best to confront your problems instead of trying to avoid them. There is no used in hiding from them because the problem will eventually catch up to you.
Dreams are not necessarily prophetic, but I think that they are often an attempt at finding a solution - that is, whatever spontaneous solution that you think is appropriate at the moment.