Kante scored the decisive goal in the game which sealed the win for Chelsea after Jamie Vardy equalised from the penalty spot.
Chelsea are back in Champions League action on Tuesday, where they face Azerbaijan's Qarabag at Stamford Bridge and the Blues boss said he would be patient with Hazard.
Arsenal did claim the FA Cup back in May, but Vardy has no regrets about turning them down. Alvaro Morata has told Chelsea supporters to "respect everyone" after the club condemned a song about the Spaniard that includes an anti-Semitic slur.
Morata netted for the third time with his head in Chelsea colours and, in Europe's top leagues, only Andrea Belotti has scored more headed goals than the Spaniard since August previous year.
Whilst it is a pretty weak statement from Morata, what more could we expect from a Chelsea striker new to his club?
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Pique piled further misery before Dembele's helped Suarez end his misery, sealing the match right on the end of regular time . Espanyol almost pulled a goal back just before the break when Pablo Piatti rattled the upright from the edge of the box.
We see Leicester City's players arrive, then it's time for the game, and then it's all over.
"It is a good day for the team and for Alvaro", said Conte in his post-match press conference.
Fortunately Hazard has returned to Cobham unscathed and it is to be seen whether Conte would deem the Leicester match important enough to risk aggravating his injury.
It was heard during their win against Leicester on Saturday and Morata later indicated he wanted fans to clean up the content of their chants.
The visitors pressed home their advantage after the break as former Foxes midfielder N'Golo Kante, gifted time and space space, drilled home a drive from 30 yards.
"I am good but the most important thing is we are not in the first places and we look forward to moving ahead in the table".