You can sign out of your Game Center account on iOS 7 and 8 via your iPhone or iPad’s settings app by going through the following steps:
How to Log Out of Your Game Center Account on iOS
- Pull out your iPhone or iPad and slide your finger to the right to unlock your device.
- Go to settings and scroll down until you find the Game Center app.
- Select Game Center and tap on the “Apple ID” in blue text at the top of your screen.
- Tap “Sign Out” in the pop window.
After signing out you will be able to login with your Apple ID once again whenever you want, or you can sign in with a new account or another user’s account if you give them permission.
If you can’t stay signed out even after going through all the previous instructions, go to setting, log out one more time, and then try playing a game that is not connected to GameCenter. Once you do that, you should get a message asking you to sign in, which means that you have now been able to successfully log off from your GC account permanently on iOS.