I think there is no way to permanently stop the messages. This may temporarily do it but it may also disable needed services:
Tap Settings > Apps > Swipe Left (to view all apps) > Google Play Services > Force Stop.
When I sideloaded Litchi on my CrystalSky this frequent message made in nigh impossible to use the app and I gave up on it. So I was happy when Litchi released the paid version (via Amazon app store) that doesn't rely on Google Services.