Morata, who left the Spanish capital to join the Italian champions at the start of the season, helped his new side earn a place in Saturday’s showdown with Barcelona in Berlin after scoring in both legs of Juve’s semi-final over his old club.
Zidane is now hoping the Spain international will repeat his heroics against Real's great rivals.
“Alvaro Morata has had a fantastic year. I hope that he does something splendid in the final. They kicked us out of the competition… and now I hope that he can win a Champions League final with Juventus,” Zidane told Marca.
Former France international Zidane, who became the world’s most expensive player when he ended a five-year stay with Juve to join Madrid in 2001, added his delight at seeing his former club back in the big time after suffering relegation in 2006 during the fallout from the 'Calciopoli' refereeing scandal.
“I'm glad to see Juventus in a final after all the time they have had to suffer without being in one. I played with them for five years and the important thing is that they're back," he said.
"I love players such as [Andrea] Pirlo, [Paul] Pogba, [Carlos] Tevez… A final is where you see the truly great players shine."
Juventus have the chance do the treble for the first time in their history having already won the Scudetto and the Coppa Italia this term.