The 41-year-old – who juggles his coaching with being a sporting advisor at Real – was appointed as Carlo Ancelotti's assistant in June.
Zidane ended his playing career at Real Madrid, making more than 200 appearances for the Spanish giant, including being part of its 2002 UEFA Champions League triumph.
But the Frenchman, who won 108 caps for his country and led them to success at the 1998 FIFA World Cup, sees his position at Real as a stepping stone to the job in charge of his country, currently held by Didier Deschamps – although the three-time World Player of the Year added that taking on the France job was not something he immediately wanted to do.
Zidane told Sport 360: "Managing to coach in football is already a dream in itself.
"But then I do dream to be the coach of the French national team one day. This is not something I want right now.
"I like the people in place in the French team and this is not an ambition for today. I am looking to the future.
"I have always been a patient man and working at Madrid with Carlo is a great way to learn a lot before starting as a number one myself. My objective is to be a number-one coach."