Perez needs to find a replacement for Jose Mourinho.
"From next week with Zidane, we will see," the president told Spanish radio station Onda Cero's 'Al Primer Toque' programme last night.
"We have not talked to any coach. We are studying what is the best option. A few years ago Zidane would not have considered being on the bench, but now he has the idea of taking on the title of coach."
Perez claimed in an interview on with Spanish television station Telecinco on Tuesday that Zidane fulfilled all the requirements, saying: "(Zidane) could be the coach. He has the qualifications and is a madridista."