Former Madrid star Zidane has been working at the club as a special adviser to president Florentino Perez, but the ex-France midfielder is now set for a more hands-on role.
"I will be director of football for the first team," he told reporters in Spain.
"Mourinho influenced this decision, but also Florentino.
"We will see (what tasks I am assigned), but I will (be occupying the new role) from Monday until the end of the season."
Zidane helped Madrid sign French defender Raphael Varane from Lens last month and he believes the teenager is an oustanding prospect.
"He has a tremendous future, and it's a good thing to arrive at Real Madrid so young. Varane liked the coach, so that is why he is here," added Zidane.
Another to come in could be Brazil forward Neymar and Zidane claims the player reminds him of another Santos star who ended up at the Bernabeu - Robinho.
"He is similar to Robinho, but he scores more goals. Neymar is a player who could be interesting for Real Madrid," he said.
"It's normal that everyone wants Neymar, but we have to see what the club decides. We have to take things step by step."