Hazard is confident in his own abilities but is yet to score more than 17 goals in a season.
Whereas Messi and Ronaldo have scored at least 40 goals for the last eight campaigns.
"But there is a moment when you have to stay down to earth. For what they have done for ten years, we can not be compared to them, it's impossible," Hazard added
The Belgian international was also asked about his Real Madrid link, and refused to rule out the move.
Eden Hazard has responded to claims that he is as good as the world's best players (Image: GETTY)
Eden Hazard has been linked to Real Madrid in recent transfer windows (Image: GETTY)
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“Why not?” Hazard said about playing for Real in the future.
“You’re asking the question, but you know what the answer will be. So, you don’t have to ask it."
Hazard has also revealed that he wanted to leave Chelsea after the 2018 World Cup.
The Belgium forward got to the semi-finals of football’s biggest event and has now revealed that it made him want to find ‘a new challenge’.
“After the World Cup, I wanted to leave,” Hazard said.
Chelsea: Hazard to Real Madrid a ‘done deal’ says Mariner
Eden Hazard has won two Premier League titles with Chelsea (Image: GETTY)
I don’t think that I need a different challenge
Eden Hazard
“But in the end I stayed at Chelsea and I’m playing one of best seasons so far.
“So I don’t think that I need a different challenge. But that doesn’t mean that I will become better.”
Hazard joined Chelsea from Lille in 2012 for an estimated £32million and has played 328 games for the Blues since.
The winger has scored 101 goals in that period, and has been heavily linked to Real Madrid in the last few transfer windows.