Wenger announced that he would return to management in January and has turned down two approaches from the Spanish giants in the past during his tenure at Arsenal.
Julen Lopetegui was sacked after just 14 games in charge at Madrid, losing four of his last five games at the helm, culminating in a harrowing 5-1 defeat at the hands of Barcelona.
Real Madrid Castilla boss Santiago Solari took over as interim manager while the club are still believed to be in search of a long-term replacement, despite Real Madrid winning their first three matches under the new coach.
But appearing on beIN Sports, Wenger refuted claims that he’d been approached over a role at the Bernabeu.
“I haven’t made any decision on my future yet,” Wenger said.
“Do I go straight away into management again or not? To be honest Real Madrid have not come back to me so I have not had to turn them down.
“I take every problem when I have to face it and try to find a solution. At the moment I do not have that problem. I will decide in January what I will do.
Wenger also dismissed reports that he was in line for a reunion with Ivan Gazidis at AC Milan as ‘fake news’, despite encouraging compliments from former Arsenal and Milan midfielder Mathieu Flamini.
Milan have endured a stuttering start under Gennaro Gattuso this season, sitting in fourth but already 10 points behind leaders Juventus.
However, the ex-Arsenal boss has made it clear that any approaches and negotiations will be kept under wraps until something official can be announced next year.
“At the moment I have taken contacts but I think it is better if it all stays confidential and I come out and speak about that when I know what I want to do,” he finished.