Will a license check fail if I am in a foreign country? I have an app that performs a license check and will not work if a check doesn't succeed within x amount of time since the last successful check.  Will this license check fail if I am connected to the Internet in a foreign country?

The app in question is Final Fantasy III (com.square_enix.android_googleplay.FFIII_GP).  However, most other paid apps perform license checks, so this is a question of broader scope.
Usually no - however, it's my opinion that this is a rather vague question that can't be accurately answered without knowing the app developer's policy or whether the app is locked to a particular region.