The gifted attacker has voiced his admiration for the France and Blancos legend, while revealing his childhood idol was retired Brazilian striker Ronaldo.
The France international, who joined Madrid from Olympique Lyonnais in the summer of 2009, is determined to achieve similar success as Zidane, and often asks him for advice.
"I liked meeting Zidane a lot, because it was a dream. I met him, I talked with him. I was very happy," Benzema told UEFA's official website. "I always ask him for advice, and he gives some to me. I hope that I will have a different career to his, but similar success."
The France international also took the time to praise former Brazil star Ronaldo, who was one of his idols growing up.
"It was my first season at Madrid, and I had the opportunity to meet Ronaldo," Benzema said. "I followed him as a kid, and I was inspired by him. To me, he is one of the greatest players of all time. To me, he's the best."
Benzema then went on to stress that he is determined to make an impact at Madrid, and is keen to develop further at the club.
"I am lucky to play for a great club. I need good seasons, like I did last year, and to perform well with the national team as well," Benzema said. "What am I still missing to become a great player? I don't know. But I am working hard to become a great player, and I will keep on working hard."