The German international - who extended his contract with Los Blancos until 2023 on Monday - has reinforced his loyalty to the club whilst admitting that he was reassured by the manager that hed play an important role in the squads rebuild for the 2019/20 season.
When Zidane returned to the Bernabeu following the departures of Santiago Solari and Julian Lopetegui, there were questions as to whether Kroos would be involved in the Frenchmans plans for the Spanish club.
Speaking in a press conference (and as quoted by Marca) however, Kroos kept the details of his discussions with Zidane ambiguous, yet seemingly positive. He said: "I wont tell you what he told me.
"I spoke with him and I know what his plan is. Ill have an important role, but I wont say more.
"Zidane knows me and knows where I can play, while in my view the left is my ideal position."
Kroos appeared 27 times under Zidane during the 2017/18 La Liga season, a campaign that also saw Real Madrid seal their third successive Champions League title during a 3-1 victory over Liverpool.
The 29-year-old midfielder had previously been linked with a move away from the Spanish capital, with the German denying the claims and suggesting that they were absolutely false pieces of information about him.
With the extension of Kroos contract, however - as well as a suggestion that he is to be given game time under Zidane next season - speculation linking Manchester Uniteds Paul Pogba with a move to the Bernabeu now seems unlikely to affect the Germans future at the club.
Shrugging off any concerns surrounding his commitment to Real Madrid, as well as reinforcing his reasons for re-signing until 2023, Kroos added: "If there were doubts about my future then I wouldnt be here today.
"[The signing of Pogba] wouldnt change anything. Ill fight for my place."