Zidane's Madrid became the first side to retain the Champions League in May, whilst he also ended a five-year wait to win La Liga last season on top of two European Super Cups, a Club World Cup and Spanish Super Cup.
"I still have the desire I had for the first game, that is the most important thing," Zidane said ahead of Saturday's trip to Getafe.
"That desire is our engine. The desire we put into every training session, every game."
Zidane had no previous managerial experience at senior level having only coached Real's youth team Castilla before taking charge in January 2016.
However, Real president Florentino Perez's trust in his ability to turn his supreme talent as a player into coaching has been richly rewarded.
"Zidane is pure talent, but also shows hard work and sacrifice in his persistent search for perfection," Perez wrote in an open letter to Zidane in sports daily Marca.
"He is insatiable in his hunger for victories, titles and he always shows respect and humility."
Madrid have though endured a more difficult start to Zidane's third season in charge as they trail Barcelona by seven points at the top of La Liga after just seven games.
Saturday presents a perfect chance to gain ground on at least one of their title rivals as Barca travel to face fourth-placed Atletico Madrid, who sit a point ahead of Real.
"I want to win our game and then we will see what happens between Atletico and Barcelona," added Zidane.
"I don't want one particular result, but just to make up ground."
Zidane will have to do without Dani Carvajal due to illness and the injured Keylor Navas and Gareth Bale for the short trip across the Spanish capital to Getafe.
Bale looks set to miss a reunion against old club Tottenham Hotspur in the Champions League on Tuesday.
But Zidane claimed he couldn't set a return date for Bale from the latest in a series of calf injuries that impeded him for playing for his country as Wales' attempt to qualify for a first World Cup since 1958 fell short this week.
"I can't say when (he will return), but he is getting better every day," added Zidane.
"He is the first one annoyed by it. He doesn't want to be out of the team, but these things happen and we have to accept it."
Feature by AFP's Kieran Canning.