Zidane is in his second stint as Madrid coach and attempting to defend their domestic title.
But speculation is never far away at the Santiago Bernabeu, and Zidane did not shy away from links to former club Juventus earlier in the season.
The Frenchman was asked again about his plans on Saturday, though, and replied: "I'm going to make it very easy for the club, because they have given me everything.
"But the theme is Sevilla, that's all. Sevilla and what's left of LaLiga."
Zidane's side, two points back, could end the weekend top with just three games remaining and will back themselves against Sevilla.
Madrid have won the past four LaLiga meetings between the sides and are unbeaten in 11 at home to Sevilla, scoring 3.4 goals per game on average. It is their longest ever stretch of consecutive home league victories against the Andalusian outfit.
But Los Blancos must move on from a disappointing result in midweek when they exited the Champions League to Chelsea.
"We know what we're playing. That's four finals," Zidane said. "We have to forget about the Champions League now and focus on what we have left."
Madrid will again have to contend without captain Sergio Ramos, who has suffered a hamstring injury – his third setback of the season.
But Ramos had already missed three of Madrid's previous games against top-four opposition this term and they are unbeaten in all five such matches, winning four.
Zidane said of his team's injury crisis: "It's a concern, because there are so many. Our case is that of the team that has had the most. I'm worried, of course.
"It's a particular year, players never rest, coronavirus, the calendar... That's all there is.
"I hope that by next year they will change and be more normal, with a normal pre-season."
Zidane will be able to call on Eden Hazard, though, after the winger apologized having been pictured joking with his former Chelsea team-mates following this week's defeat.
Hazard has just three goals in 27 LaLiga appearances over the past two seasons and none since January. He has created only 26 chances for four assists and much more is expected from the €100million signing.
"Eden has apologized and done well. He didn't mean to hurt anyone, which is the most important thing," Zidane said. "There's no more, he's apologized, we've talked and nothing more to say.
"He's going to help us. So far you haven't seen the player inside him. I hope we can see that Hazard soon. He has a contract with Madrid."