This sounds a bit like one

An extremely odd bug is making the PC version of FIFA 16 unplayable for some, according to multiple lengthy threads on the EA support forums. It basically turns Fifa 16 coins buy  into schoolboy football, as just after kick-off every single player (goalkeepers included) immediately rushes towards the ball in the center of the pitch.

Another symptom, based on what people are writing in the support threads, is the inability to make players strike the ball in the right direction. Attempting to take a shot makes the player turn around and fire it off in the opposite direction.

This sounds a bit like one of  Fifa 16 coins buy  those weird anti-piracy measures publishers sometimes add to their games, but the people posting about this issue pretty much all claim to have legitimate copies. I have no reason to disbelieve that, so unless some anti-piracy thing is misfiring on purchased copies that’s probably not the cause.
http://www.fifaeasy.com/