Hazard has starred for Chelsea in the opening stages of their Premier League campaign and Kompany admits that he is impressed with how quickly the 21-year-old has settled in England.
The Manchester City captain said: "People always talk about how difficult it is to adapt to the Premier League because it is physical and quick.
"It just takes some time usually so it's remarkable for him to show so much in such little space.
"And the crazy thing is I still think he has much to room to progress."
Kompany and Hazard are both expected to start for Belgium against Wales in Cardiff on Friday evening.