The Madrid chief has revealed that the former France star will become the new sporting director, while adding that they have yet to decide on who will replace Jose Mourinho
The France legend previously worked at Madrid as the club's sporting director, but left the Santiago Bernabeu side in the summer of 2012 in order to complete his coaching qualifications.
Nevertheless, Zidane is set to return to los Blancos ahead of the 2013-14 campaign.
"We want Zidane to lead the sporting project for the next four years," Perez told Cadena Ser.
"He will decide which players will be sold and who we will try to sign."
The Madrid president then went on to stress that they have yet to make a final decision on who will replace Mourinho as head coach, while insisting that the players did not have a problem with the Portuguese trainer.
"Ancelotti? We don't know yet who will be the new coach. We will talk about that during the next week.
"Jurgen Klopp is a good coach and I like him, but the Dortmund players are more like kids than the players at Madrid.
"The players only had good words about Mourinho. They told me that he was the best."
Perez also briefly discussed the situation of Iker Casillas, who has lost his starting berth to Diego Lopez this term.
"To me, Iker Casillas is the best goalkeeper in the world, but the club can't interfere in the coach's decisions."
Zidane has already admitted his admiration for rumoured Madrid target Gareth Bale, who could be tempted to leave Tottenham after the club missed out on Champions League football.