The J-League club took the game into extra-time before Real won 4-2.
Zidane said: "We always enjoy winning a major title. We knew that we'd have to dig in. We weren't surprised by the opposition and we were well aware that they were capable of putting in that sort of performance, but we were a little taken aback by the way they played, just how much they ran and battled. We arrived here after a long trip and we've lifted the title, which is an important one for us.
"At times, we were made to suffer and we didn't play as we can, but that's to expected throughout the course of any game. The good thing is that we've been positive and we know that we're capable of hurting the opposition at any given time. We also know that we sometimes have to dig in, but if you're positive and believe that you can do it, you end up achieving things because there's a lot of talent in this side."