'I am in talks with Franck,' the former three times World Player of the Year - and advisor to Real Madrid president Florentino Perez - told French newspaper Le Dauphine Libere.
'He is a fantastic player who has his place at Real. And playing in this team is a career opportunity, which, to me, you do not refuse.
'It would be a nice opportunity for Franck. It is up to him.'
Real deal: Zidane has told Ribery to move to the Spanish capital
Real are on the verge of signing Cristiano Ronaldo after Manchester United accepted an £80 million bid for the Portuguese.
Brazil playmaker Kaka has already joined from AC Milan for £56m, while Ribery is likely to cost around the same amount, if reported bids for the 26-year-old are anything to go by.
'Bringing together the best players in the world has a cost,' said Zidane. Heat on Fergie: Glazers demand new Ronaldo with Barca to grab RiberyBayern braced for 'crazy' Franck Ribery offer as Manchester United battle Real, Barca and Chelsea for France starIf Bayern won't sell Ribery, I won't pursue him- unless Munich change their mind, insists Real chief Perez