The 20-year-old was considered one of the hottest young talents in world football last summer before joining Schalke for £20million.
Big things were expected of the former Basel man but his progress was halted by a serious injury sustained shorly after making the move to Germany.
Embolo suffered a fractured ankle, medial collateral ligament damage and a ruptured joint, but is now back to full fitness and came on as a late substitute for his country in their World Cup play-off against Northern Ireland on Sunday.
The youngster is still highly rated among the footballing fraternity and English publication 'The Daily Mail' reports that City are considering a move for the player as they look to ensure their squad is strong enough to mount a serious title challenge.
Embolo is a quick, powerful forward who is expected to have a long and successful career at the top level, will that career be with City?