I can't find my Game Center app icon on my iPhone.

Hello my name is Linkelvis I own my iPhone5 & my gaame Center missing from home screen ? Can you please help me get back on my iPhone home screen please I've been getting lots friends requests and other requests to play games I can't do anything with out my Game Center app on my home screen !

As was explained in the original answer to this post, given last October, GameCenter is gone. Some of its features can be found in Settings>GameCenter. Friend requests are being handled through Messages. That requires that the games you play be properly updated by their developers.

gamecenter was removed from iOS 10

here is what you can delete from Apple in iOS 10 btw

Remove built-in Apple apps from the Home screen on your iOS device with iOS 10 - Apple Support