Barca have been in talks with Garcia's minders about bringing the former La Masia trainee back to the club this summer. Inside the Nou Camp, they see Garcia as a natural successor for Gerard Pique.
Mundo Deportivo says while City manager Pep Guardiola is reluctant to lose Garcia, he won't hold the youngster against his will.
Instead, Garcia has been informed if he wishes to leave, City won't stand in his way.
Barca are hoping to do business for €12-16m.