The PSG right-back insists the Blues star is the equal of the club's world-record summer signing - who swapped Barcelona for the French capital in a £200m deal this summer - now that he has cut out a greedy streak in his game.
Meunier said: “Eden and Neymar are on the same level of ability. Neymar loves to have the ball at his feet, and to create situations on his own. Eden was like that when he first started out.
“He was greedy but he has simplified his game while keeping his technique and vision."
Hazard first made his name in Ligue 1 with Lille before a £32million move to Stamford Bridge in 2012, but PSG have always coveted him.
“To my mind Eden could play for PSG with his hands tied behind his back," added Meunier. "It would be a fantastic transfer for us.
“Eden would be good enough to play for Real Madrid or Barcelona as well. He could play anywhere.
“He is in the group of truly great players alongside Lionel Messi, Cristiano Ronaldo and Neymar, who have ability in their DNA.”