The Frenchman, who took over from Rafa Benitez in January 2016, has already won the Champions League twice, last season's La Liga title, the Club World Cup and two UEFA Super Cups in his time in charge.
He confirmed on Saturday that he has agreed a new three-year deal with Real, but knows that he must continue to be successful if he is to see that contract out.
My story with Real Madrid is deeper than contracts and signatures," Zidane said in a news conference ahead of Sunday's Spanish Super Cup clash against Barcelona, live on Sky Sports.
"I'm happy to be linked with the club. But the contract doesn't mean anything. You can sign for 10, 20 years. I know where I am and what to do.
"In one year, maybe I won't be here. Real Madrid and I are not going to argue, never."
Those managerial successes add to those Zidane achieved as a player with Madrid, having won a league title, the Champions League, two Spanish Super Cups and the European Super Cup between 2001 and 2006 and he says he is enjoying his time in the dugout at the Bernabeu.