Perhaps if he'd won the argument with Alonso over who should take the last ditch free kick, he could have been the Blues' hero for the day, but it wasn't to be.
It made for tense viewing for the Chelsea home support.
On Alvaro Morata failure to find the back of the net, Conte told the BBC: "I don't think it is only Morata's problem, also the other players, because we are not scoring goals, we are not conceding, but we are not creating chances".
Whether it's fitness concerns or a tactical decision which leads to Conte's tendency to remove Hazard from the fray, supporters are unhappy that their best player isn't being allowed to help the side when they're chasing a goal.
N'Golo Kante and Danny Drinkwater played in 37 and 35 league matches respectively for Leicester during the club's 2015-16 title-winning season.
In the 58 minute, Conte made a double substitution, bringing on Pedro and Willian for Hazard and Fabregas.
Just two goals in eight Premier League games, Morata's poor form continued against Leicester.
The Foxes are winless in their last 12 Premier League away games against the current top six sides, losing each of the last five. Continuously having to tackle, an overzealous challenge on Okazaki brought the France global a yellow card.
Changing that feeling won't be easy.
With both sides still face in the semi-final of the Carabao Cup on the 10th and 24th of January, it is almost certain that Arsenal who will welcome back most of their key players who missed the Wednesday league clash will somehow get the better of Chelsea.