The Newcastle midfielder says he always knew his former Lille team-mate would settle quickly at Chelsea, after he helped convince the Belgian to come to the Premier League
The two players were close friends as part of the Lille side which won the Ligue 1 title two years ago, and Cabaye advised Hazard to come to England after enjoying a successful first season at Newcastle himself.
The France international says he always knew Hazard would flourish in the Premier League.
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"The Premier League will be good for Eden's progression," Cabaye told the Daily Mail.
"He had already won two times the French player of the year award. Everybody in France knows him, so the best way for him to improve again and to become one of the big, big players in the world - which he can be - was to move here.
"I don't have much doubt that he'll become one of the best players in the league, especially if he continues to play like he did last week.
"He is relaxed with the ball. Every time, just before he gets the ball, he knows what he is going to do with it. For me, he did against Wigan what he did for Lille on many, many occasions."The two go head-to-head this weekend as Newcastle travel to Stamford Bridge aiming to repeat a memorable 2-0 win in the corresponding fixture last season. Cabaye says he is looking forward to locking horns with his friend and former team-mate.
"I will speak to Eden before the game," added Cabaye. "I'm sure we will have a laugh and joke with each other and it will be the same on the pitch.
"He is my friend, so I will smile with him. I've played against him once before, when France played Belgium, and we drew 0-0 and it will be the same this time.
"I spoke to Eden before he joined Chelsea. He asked me about the Premier League. I told him that this league would be everything he expected and more."