The former Blues striker believes that the arrival of Hazard has had an immediate impact on the Champions League winners.
Drogba said: "They have started the season well, winning games and playing very good football.
"There's been a lot of new players and the older boys can help them adapt. It has been good and I am so pleased to see that.
"I really like Hazard. He is clever and doing a lot for the team. I've known him for a while now and the way he has adapted here is good."
Recent reports have suggested that Drogba could return to England with Liverpool.