It was a first win in 2018 for Chelsea, who had drawn their four previous matches in all competitions this year.
When asked why his players had dived, Conte replied: "I don't know, but I don't want an advantage".
"Now we have to play in two days against Brighton at 12.30".
"Now we can focus on the league and get ready for the next game against Newcastle", Hazard told BBC.
Conte had made nine changes from the 0-0 draw with Leicester on Saturday, with Hazard, Cesc Fabregas, Thibaut Courtois and N'Golo Kante left out of the starting line-up.
Problems on the London Underground meant kick-off was delayed by 15 minutes but the hosts did not seem affected as Danny Drinkwater and Willian both fired wide inside the opening 10 minutes, while Cesar Azpilicueta was unable to turn in Tiemoue Bakayoko's flick from a corner.
However, Norwich grew into the game and Oliveira also hit the bar after a awful backpass from Batshuayi.
Could you pass the mental test Trump took?
Being overweight is simply defined as a person whose weight is higher than what is considered a normal weight adjusted for height. Jackson said the president sleeps only four to five hours a night but rarely sees the president overly stressed.
Chelsea manager Antonio Conte has blasted poor use of the new Video Assistant Referee system in the FA Cup following his side's dramatic replay against Norwich on Wednesday night, insisting it must be improved after what he feels was a "big mistake" was allowed to slip through.
But Jamal Lewis headed in Timm Klose's cross in the fourth minute of stoppage time for 1-1 and force extra time, when Pedro and Alvaro Morata were sent off.
A creative midfielder who likes to dribble, Barkley can play in a No.10 role and has been compared to former England worldwide Paul Gascoigne and ex-Chelsea man Michael Ballack.
And Morata also saw red, receiving a yellow card for diving and an immediate second yellow for his vociferous complaints, which was followed by a pitch invader furious at referee Graham Scott's handling of the game.
At the DW Stadium, third-tier Wigan, who won the FA Cup in 2013, brushed aside under-strength Bournemouth in their third round replay.
The Latics secured a fourth-round home tie against West Ham thanks to goals from Sam Morsy, Dan Burn and Callum Elder.
Wilfried Bony gave Premier League strugglers Swansea a 2-1 win over Championship leaders Wolves in their third round replay.