Hazard has impressed with his start to his career with the Champions League winners after scoring one goal, assisting four and winning two penalties in his side's opening three games.
Zola, who is held in high regard by the majority of English football as one of the all time greats at the Blues and in the Premier League, is adamant that the Belgian winger can become one of the best ever.
"I saw him playing and I really wish that he is going to be as successful as I have been over there, even more actually," Zola told talkSPORT.
"He is an exciting player and their supporters deserve the best so I really hope he is going to be successful."
Chelsea sit top of the Premier League table after winning all three of their opening games.