City began their hunt for a fifth Carabao Cup success in six years with an impressive victory at the Etihad Stadium in the third round.
After a goalless first half, Riyad Mahrez broke the deadlock with a stunning free-kick that curled over the Chelsea wall and gave goalkeeper Edouard Mendy no chance.
Julian Alvarez took his goal tally to seven for the season when he was in the right place to add a second after Mahrez was denied by a smart save from the Frenchman.
Mendy was also in brilliant form to deny Jack Grealish a deserved goal with the City forward forcing him into three superb saves while another blistering run through the Chelsea defence was blocked just as he was about to score a potential goal of the season contender.
At the other end of the pitch, star man Stefan Moreno Ortega was unbeatable as he made a string of fine from Christian Pulisic and Lewis Hall to keep another clean sheet.
Watch brief highlights of the game in the video above.
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