Zidane has seemingly ruled out a move in this window but has hinted that he would be interested in bringing Aouar to the Bernabeu at some stage in the future.
"I don't know what information you have about [Aouar]," Zidane told reporters. "He's a great player, I have no doubt about that. Maybe one day he could play at Real Madrid but right now we have this squad and we're going to go forward with the players we have."
Aouar, who has also been linked with Paris Saint-Germain, scored nine times and contributed 10 assists in 41 appearances for Lyon during the 2019-20 campaign.