If I understand you correctly, you are thinking about developing an
asynchronous game. This has been previously discussed here e.g.
of Google Play Service for creating a turn-by-turn (asynchronous)
Google Play Game Services is not well-suited to this type of game at the
Of course, you can write your own intent service, but to make it work
(e.g. maintaining "connections" between devices across power downs) you
will effectively have to write your own version of Game Services.
Re. reconnecting to a room (assuming Google's back end has not
"housekept" the room due to inactivity):
gaming services, obtain list of rooms