Ahead of the Champions League fixture with Paris Saint-Germain, Hazard said that it would be difficult to turn down a future move to the Parc des Princes.
The comments sparked outrage among supporters of the Blues, and the Belgian maestro has since come in for further criticism after a below-par display against the French giants which saw him substituted with 19 minutes remaining.
The performances of Hazard have been a hot topic of debate since the start of the campaign, and Keane has branded the 25-year-old a "spoilt child" over his conduct this week.
Keane told ITV's Champions League highlights show broadcast on 17 February at 10:45pm: "I really cannot understand these players who signed an extension to their contract last year and we saw how brilliant he was last year, and then he is coming out with all that nonsense on the eve of a big, big game.
"If I was a teammate of his, I would kick him up and down the training pitch. Some of the senior players need to get hold of him. He is a talented, talented boy but his attitude, even last night, was like a spoilt child. It's absolutely ridiculous."
Hazard has improved since the departure of Jose Mourinho in December, but he has still scored just the one goal for the West Londoners this season - a penalty kick against MK Dons in the FA Cup.
Chelsea are next in action on Sunday afternoon when they host Manchester City in the FA Cup fifth round, a match they will be desperate to win.