Wenger, 68, stepped down as Arsenal head coach after 22-years at the helm and has since been replaced by Unai Emery at the Emirates Stadium.
However, the Frenchman admitted upon his exit that he wouldn't be retiring from football and since the shock resignation of Zinedine Zidane at Real, the three-time Premier League winner has emerged as a front-runner to succeed his compatriot.
"It is exciting now because I can be tested again," he told reporters, as reported by the Express. "That's what I want in my life. I am a competitor who wants to be tested.
"I don't know what will happen but I'm in front of an empty page and I have to write the next chapter. I'm not very gifted to enjoy life and lie on the beach. I envy friends of mine who can do that.
"Very quickly I am bored because it is an addiction I have created. I have the addicted gene and you have to live with it."