The Portugal forward's second goal is especially noteworthy, a majestic bicycle kick from 12 yards out which left Juve goalkeeper Gianluigi Buffon motionless.
"It's not easy to put three goals past Juve on their own field," Real boss Zidane - a former Bianconeri star - is quoted by BBC Sport as saying.
"We put in a great performance, but Juve also did very well, put us under pressure and had the chances to score goals, but we were more clinical. Of course Juventus aren't happy with the result tonight, but I will always have Juve in my heart.
"Cristiano Ronaldo is different. He's a different player to everyone else and he always has this desire to do something extraordinary in the Champions League, he never rests on his laurels. His overhead kick was remarkable, yet he missed two much easier chances. That's football."
The second leg of the tie takes place at Real's Bernabeu home next Wednesday.