With Lukaku missing due to an injury he sustained in the midweek win over Malmö, Thomas Tuchel started the trio of Kai Havertz, Callum Hudson-Odoi and Mason Mount upfront.
However, it was Mount who opened the scoring for Chelsea in the eighth minute, picking the bottom right corner of Tim Krul’s goal from outside the box.
Hudson-Odoi doubled Chelsea’s lead ten minutes later before Reece James got the third for the blues shortly before the halftime break, after being picked up by Mount
The visitors came out of the break with more intent and could have equalised only to be denied by the impressive Edouard Mendy.
From there on Chelsea completely dominated them, scoring four second-half goals.
The first goal came in the 57th minute through Ben Chilwell, who smashed home from a perfectly weighted pass from Mateo Kovacic.
Max Aarons deflected Hudson-Odoi’s cross to make it five-nil for Chelsea before Gibson received a red card for bringing down James.
Chelsea capitalised on their numerical advantage, with Mount completing his hat trick; first from the penalty spot and then a close-range finish in the 91st minute, following good work by Ruben Loftus-Cheek.
Daniel Farke faces the sack
Daniel Farke is arguably the most supported manager in the world, if not he should have been sacked.
The German have overseen two Championship wins for Norwich but have also overseen the club’s most embarrassing run in the Premier League.
His side has failed to win a PL game this season and have already conceded 23 goals in nine league games.
It is impossible not to feel that his time is up at Norwich unless he finds a way to overturn coming results.
Harvetz misses his chance to shine
Following injuries to Lukaku and Werner, Chelsea boss Tuchel had urged his fringe players to step up and seize their chances.
While Hudson-Odoi took his chance on Saturday by showing up with a goal and an assist, Harvetz failed to impress and had to be substituted 70th minute.
The German has had his fair share of good days at Chelsea and scored the winner in the Champions League final against Manchester City. But he is also proving to be too inconsistent to be a regular starter for Tuchel.
With Lukaku set to be away for three weeks, the German coach will hope that his compatriot will step up in the coming games.
Chilwell stakes his claim
Ben Chilwell has gradually wrestled the number three spot from Marcos Alonso following a tough start to the season.
The England international is in the form of his life and scored his fourth goal in four games against Norwich and was a constant threat throughout the game.
At this rate, it is impossible for Alonso to regain the left-back spot in the Chelsea XI.
Mendy most important Chelsea player
While this game proved how good Chelsea can be in attack, it also showed how important Edouard Mendy is to the Blues.
The Senegalese didn’t have much to do on Saturday, but whenever he was needed, he showed up.
He was alert early in the second half to deny Rashica and dealt generally well with whatever was thrown at him.
A good show by Mount and a first career hat trick
What a day Mason Mount had!
The youngster was surely the star of the show and took his career first hat trick with aplomb.
He will hope that this is the first of many for Chelsea.