I’m not a lawyer, so my knowledge is limited, but from what I understand, you can only make a claim for a patent infringement in the country where the company responsible for the infringement is located.

So they have this patent in Japan, but if I make a Pokémon-like game but I’m from, say, France, where this patent doesn’t exist, Nintendo can only suck it up and cope, because they don’t have a patent for this in France.