Can you please describe your idea in more detail? Do you mean a game for absolute pitch? At the moment there are two games I can think of which can easily be used for this kind of training

Maybe a game like Notationist, but instead of reading, we have to listen to the note.

I'm not going to advocate utilizing the game Melodix as I think it needs to be revised from the bottom up, in fact I don't think it should have been out of beta,
but it did come out (escape?) I think it has what you are looking for, you hear a melody or a group of notes and you have to determine which pitches you have just heard