Mauricio Pochettino's side were fortunate to survive a stirring fightback from Championship promotion chasers Leicester amid a mutinous atmosphere at Stamford Bridge.
Despite their lethargic display, Chelsea rallied to take the lead in first-half stoppage time.
Raheem Sterling sparkled with a brace and Nicolas Jackson bagged his first goal for the club as Chelsea swept aside Luton 3-0 to give Mauricio Pochettino his first Premier League win as Blues boss
Raheem Sterling will return home from England's World Cup camp in Qatar with doubts over whether he will return in time for Saturday's quarter-final against France.
Chelsea host Wolverhampton Wanderers in a Premier League fixture at Stamford Bridge.
With just one point from their first two games, Chelsea look to bounce back with a win against the reigning Italian champions
Premier League clubs have flexed their financial muscle once more in the race for the world's best talent ahead of Friday's kick-off to the 2022/23 season
Sterling announced his exit from the Etihad with a social media post thanking those he worked with at the club over the past seven years.
Raheem Sterling, 27, has already reportedly agreed personal terms and subject to a medical will sign a five year contract with the option of a further year
Kevin De Bruyne produced a four-goal masterclass as Manchester City thrashed Wolves 5-1 to move three points clear at the top of the Premier League