The Ligue 1 outfit surprised European football this summer when they eliminated Juventus and Man City in the knockout stages of the Champions League, before eventually succumbing to defeat against Bayern in the last four.
Aouar's performance catalysed interest from a number of elite clubs, and Juninho has suggested that Man City boss Pep Guardiola likes the look of the player.
"I think that has been happening directly with agents. We were not directly contacted. Maybe Vincent Ponsot [fellow director] was contacted by Manchester City, I am not sure," the Lyon chief told RMC Sport.
"It is like that with these two teams, two enormous teams who play to win the Champions League every year, they have the capacity for that and that makes any player dream. I don't know if Houssem is ready to change project for a big Ligue 1 team like PSG.
"For City, of course, Guardiola likes the player, but is that the profile that they are looking for today? We don't know that either and we have not received any official offers."
Aouar contributed to seven goals in the league last season for Lyon via three scored himself and four assists. His performances over the course of the campaign earned him a 76 FC Rating.