Di Matteo feels Hazard can go on to emulate his former teammate Gianfranco Zola.
"Gianfranco Zola was a wonderful talent, an artist, I would say," said Di Matteo. "Eden might become an artist as well. He's a talented man, a talented young boy. We'll have to see how he grows into a man and how quickly he will be an important player for Chelsea.
"You can see why people make the comparison with Zola because of the size. And we know about his technical ability, his dribbling ability too. We know he has that.
"Certainly for us, Hazard's was a good debut. It was great to see him enjoying himself as well and getting his teeth into the Premier League.
"You're never quite sure how the new players will adapt and I'm sure it will take him a bit of time to get used to the physicality and tempo of the Premier League."