The Game Center on iPhone is Apple’s social gaming network; which allows you to play multiplayer games across Apple devices, invite friends to games, track gaming achievements, view leaderboards and compare scores with friends or everyone else; depending on the settings for the Game Center on your device.
Hence, if you are looking for a way disable the game center on your iPhone, it is likely that you had either activated the Game Center out of curiosity and want to disable it for privacy reasons or you no longer want to be actively involved in the gaming community and want to disable notifications and restrict social and other features of the Game Center on your iPhone.
Disable Game Center on iPhone
Once the Game Center is enabled on iPhone, it gets linked to Apple ID and it cannot be completely disable or removed from your device. However, you can disable most functionality of the Game Center by using different methods as provided below in this guide.
1. Disable Game Center Notifications
If you are being bothered by Game Center Notifications, you can easily disable pop-ups and all other types of Games realted notifications.
1. Open Settings > scroll down and tap on Notifications.
2. On the Notifications screen, scroll down and tap on Game Center.
3. On the next screen, disable Allow Notifications option.

After this, you will no longer be bothered by Game-related alerts, banners and pop-ups.
2. Restrict Game Center Features
You can selectively disable the social and other features of Game Center that you do not want to use by using “Content & Privacy Restrictions” feature as available on iPhone.
1. Go to Settings > Screen Time > tap on Content & Privacy Restrictions.
2. Enter your screen time passcode (if prompted).
3. From the next screen, go to App Store, Media, Web, & Games tab > Multiplayer Games.
4. On the next screen, select the Don’t Allow option.

Similarly, you can disable Adding Friends, Connect with friends and other options that you are not interested in using.
3. Disable iCloud Sync for Game Center
You can prevent Game Center data from syncing across other devices by disabling iCloud access to Game Center.
1. Open Settings and tap on your Apple ID Name.
2. From the Apple ID screen, go to iCloud > If Game Center is not available tap on See All.
3. On the next screen, disable iCloud access to Game Center by moving the toggle to OFF position.

This will prevent Game Center activities like achievements and leaderboards from syncing to other devices that are using the same Apple ID.
4. Sign Out From Game Center
You can ensure the security of your account by signing out from Game Center, which prevents others from accessing your games, scores and achievements without your permission.
1. Open Settings > scroll down and tap on Game Center.
2. On the Game Center screen, scroll all the way down and tap on Sign Out.

This will Sign your out from the Game Center, while keeping you signed-in to your Apple ID and iCloud related services.