But Pep Guardiola is reluctant to lose the impressive youngster who has played 19 times for City in all competitions this season and bagged an assist during their 3-0 League Cup victory over Preston in September.
Contract negotiations stalled due to the coronavirus pandemic, and according to sources in Spain, Garcia may consider his future if Guardiola decides to leave the Premier League club.
The City boss is currently in the final 12 months of his contract at the Etihad Stadium and has so far refused to say whether he will commit to a further extension.
In July, Guardiola said that he was confident that Garcia would sign a new long-term deal but Barca remain convinced they can persuade him to return.
“I don’t have any updates. He has one more year on his contract, if Barcelona want him they must call him," Guardiola said last month.
He concluded, “We are going to try convince him to stay here for many, many, many years. We want him, but he doesn’t want to stay, we cannot do anything else. He knows, his agent knows, his family knows that we want him. If Barcelona want him, they have to call Txiki.”