The club have long been linked with his signature, despite the player's agent Mino Raiola previously criticising Madrid's transfer policy.
Pogba's representative said the midfielder wouldn't join Rafa Benitez's side because of the way certain players are treated.
However, Raiola reportedly met Madrid officials prior to the Champions League final and Zidane admitted the France international is a target.
He told radio station RTL: "He has everything. I think that he’s fantastic. What I like about him is that he has it all.
"He is a complete player who also has the ability to score goals because he likes to get forward. In terms of footballing qualities, he is extraordinary.
"A lot of clubs are interested in him and so are Real. It is natural that talented players are of interest to all the big clubs."
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