Real were 2-0 on aggregate before a 17 minute hat-trick from Benzema saw them win the round 16 tie 3-2.
Benzema said, "We needed the fans and this is for them. It was a very difficult game but we pushed till the end and we deserve the win. We lost the first leg, they went 1-0 up, but our fans pushed us to give everything right to the final whistle.
"In the first leg, we have to say we were lucky to leave there only losing 1-0. But we knew it would be different in Madrid. We pushed, we conceded a goal, but we were confident that we would have chances."
On his first goal, Benzema said: "The goalkeeper waited and waited, he lost the ball and it was a goal. He should have cleared it, simple as that.
"We knew they're a team that if you put them under pressure, they don't panic, but it's more difficult for them. When you take the ball off them, when you put them under pressure, they can't connect with the three up front. It's the problem of all the teams that want to play the ball out from the back. When they're pressed, it causes them problems."
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