Manager Pep Guardiola recently intimated Garcia wants to leave and will not sign a new contract.
The Barca youth product wants to go back to the Catalan giants.
And sources in England are reporting that City have put a £30million price tag on Garcia.
If Barcelona cannot match the offer, City will see if anyone else bids, or they will hold onto the player until January.
What is against City in this situation is the fact that Garcia can move on a free transfer next summer.
The teenager made 19 appearances this season for City.