The Welsh winger, named PFA Player of the Year for his exploits at Spurs, is "more than good enough" to play for los Blancos, added the Frenchman, with the Spanish giants known suitors.
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"I have been watching Tottenham for the very reason that Bale has been playing," Zidane told Goal.
"Aside from Ronaldo and Messi, who are the top players, I must admit that he is the footballer who impressed me most.
"He particularly impressed me because he was consistent – he wasn't great in one or two matches, he was a great player all the time. He scored goals and was consistently scoring them – very important goals. He has been very impressive."
Asked if Bale could be playing at the Santiago Bernabeu next season, Zidane replied: "All big, talented players could go to Real Madrid.
"He is more than good enough to play for Real Madrid."
Zinedine Zidane was speaking at the adidas lab, showcasing the latest innovations at the cutting edge of football. For more information visit www.adidas.com/football or join the conversation @adidasfootball #adidaslab