Hazard played the full 90 minutes against Man United in the FA Cup semi-final win on Monday, in which he was repeatedly fouled.
Stoke responded and got the flawless opportunity to level things up when they awarded a penalty after Gary Cahill foolishly shoved Jon Walters in the back inside the area.
The Spain global was booked on 17 minutes for dissent after one tussle that left him on the floor, but improved in the second half and even struck the post as Chelsea threatened to extend their lead in the final minutes.
"Diego is showing in all this season, not just this game, great discipline, great commitment".
Antonio Conte [on Chelsea player bagging PFA award]: "I hope that, at the end of the season, one of my players could be".
Antonio Conte is at loggerheads with Chelsea's board over the club's transfer policy despite his side's 10-point lead at the top of the English Premier League table.
After a 3-1 win over Swansea City last month, Conte said he thought 29 points were required in order for the Blues to guarantee the return of the top-flight trophy to Stamford Bridge.
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In the 13th minute, Stoke's pressing left Marcos Alonso open and the former Fiorentina man galloped down the left before winning a free kick in a crossing position.
"You have to say that they are the toughest challenge we will face because they are the most consistent team and have a way of playing which, tactically, is hard to go up against".
He explained: "It's my first time in Stoke yes. They are important but, if you don't win, they are not important", via BBC Sport.
The Italian swung jubilantly from the dugout after Gary Cahill had scored the late victor in the 2-1 victory and afterwards embraced players and staff joyfully as Chelsea moved 13 points clear of their pursuers. For sure there is the great possibility to score the goal, but also to concede a goal.
"It's a big test and they are clearly the best team this year which they have proven by the number of games they've won".
"My players were prepared to fight to win this game because it wasn't easy". Of the previous 12, they have won just once - versus Manchester City in December 2015 (W1 D2 L9).