Havertz was outstanding for Germany in their Euros victory over Portugal on the weekend.
"I compare him with Zinedine Zidane in terms of skills, technique, vision and anticipating a situation," Matthaus told Kicker.
"Zidane did not seem fast, but that was when he held the ball. Havertz can do that too."
However, Matthaus emphasizes that Havertz still has a long way to go to reach the absolute top.
"He could score more goals and improve in short movements with special training. He has a good eye, good ball control, good positional play, good technique.
"In addition, Havertz plays intelligently and uses his body well. Havertz is on his way, but nuances will determine whether he gets to the top, whether he becomes an excellent player or just a very good one."