Lyon are without Champions League football for the forthcoming season, and despite a run to the tournament semi-finals, knocking out Manchester City on the way, it it thought that a number of first-team players may become available.
Depay has only recently returned from a serious cruciate ligament, but Ronald Koeman, who coached the forward at international level with the Netherlands, is known to be a huge admirer.
Speaking to Telefoot, Garcia seemed resigned to losing his star forward, saying: "Depay is a top player, a fantastic footballer, [one] who has just returned from a cruciate ligament operation. If he stays with us, we will be a much stronger team.
"If Memphis, like many other players in my squad, and there are quite a few, has the opportunity to play in a team that has been built to win the Champions League, I would drive him to Barcelona myself."
Garcia added, however, that the situation at Barcelona may not be so clear cut that there is a path to the team for Depay.
He added: "They are talking about the interest in signing Memphis, but they also remember that Luis Suarez has not yet rescinded his contract with Barcelona.
"And a few days ago we discussed the departure of a small left-hander who, finally, remains in the Barca team. There is no space to incorporate another player."
Barcelona seem confident in securing Depay for a fee in the region of €25m, and they remain interested in Georginio Wijnaldum from Liverpool.