Fekir appeared certain to join Liverpool earlier this month after a fee was agreed and he underwent a medical.
However concerns were raised after Fekir’s medical following a history of knee problems and as a consequence Liverpool pulled out of the deal and Lyon declared the playmaker would lead them next season in the Champions League.
The France international dismissed any worries about his knee when asked about the collapse of the transfer.
But speaking in an interview with RT France, Aulas revealed he had given the “green light” for Fekir to join Liverpool.
And he added that if Fekir expresses a desire to leave, he would help facilitate the move.
He said: “He was supposed to go to Liverpool at a certain point, I gave a green light, [but] things did not happen because they lasted too long.
“Nabil is an exceptional player, he is on the map. the efficiency, to keep the ball, absolutely unique.
“The failure with Liverpool has aroused the interest of other clubs. Everything is possible.
“My goal is to make him stay. I have always listened as a priority, the players are my sons.
“I hope he will stay, but if he absolutely wants to leave, we will try to find him the biggest club.”
Aulas also claims Real Madrid, among other European clubs, are interested in Fekir and could make offers this summer.
Speaking to RT France, Aulas said: “Yeah, listen, at that stage it was foreseen he would go to Liverpool, I had given it the green light to go ahead, but it just took too long, things were just too drawn out.
“He is an exceptional player, he keeps the ball in little space and has an incredible talent. The fact that things didn’t conclude with Liverpool and it didn’t happen in that timeframe has peaked the interest of a lot of other clubs – Real Madrid, but not just Real Madrid and their new trainer.
“There is a lot of interest from other camps, so everything is possible.”