"But, it (contempt) is the same for me".
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.
Conte, who has been linked with jobs in Italy and with Paris St Germain in France, was then asked if he would resign.
Having claimed that Batshuayi provides Morata with sufficient competition, Conte added: "Don't forget you are talking about two young players, and for Morata this is the first full season [in the Premier League] for him and he is learning a lot from this experience, learning to deal with these types of situations". We tried to create chances, to score, and we are not suffering defensively.
Given the speculation surrounding their manager, it was intriguing to note the response of Chelsea fans.
When a chant of Conte's name emanated from the stands soon after kick-off, it quickly petered out and the Italian responded with only a bashful clap towards the supporters.
Leicester have 31 points and remain in eighth.
When Jamie Vardy fired narrowly wide from a tight angle moments later, Conte wore a thunderous expression on the touchline.
Ndidi came close to scoring with a header in the 14th minute but his effort was parried away by Thibaut Courtois.
"My plan was to play with one team in the FA Cup, and then these two games with nearly the same players".
Vardy was a constant menace and Conte's defense again failed to corral the England global, who found space to shoot just wide.
While Chelsea threatened in the first few minutes, Leicester were the more dominant team in the first half as they raided the Chelsea defence in the opening 45 minutes at an alarmingly regular rate for Conte and his coaching staff.
As for Fabregas, the Spaniard makes Chelsea tick and without him they lacked creativity in midfield.
Chelsea are really struggling in front of goal lately. United midfielder Ander Herrera picked up two yellow cards for challenges on Eden Hazard as Chelsea won 1-0. He was shown no mercy by referee Mike Jones in the 68th minute when he brought down Victor Moses, shortly after fouling Willian.