Pep Guardiola‘s side qualified for the last eight of the competition with a 3-2 win over Liverpool at the Etihad Stadium on Thursday night.
Goals from Erling Haaland, Riyad Mahrez and Nathan Ake earned the Blues a hard fought win against Jurgen Klopp’s side.
It leaves Guardiola still in the running for his fifth League Cup triumph in his seventh season in English football.
Southampton reached this stage with a 2-1 win over Lincoln on Tuesday night.
City have lifted the League Cup eight times since its introduction in 1960 - only Thursday’s opponents have won it more in its history.
The quarter-final will take place in the week commencing 9 January 2023, with two matches to be confirmed for live broadcast on Sky Sports.
Confirmation of the date and time of the St Mary’s fixture, as well as ticket details, will be announced on mancity.com and the official Man City app in due course.
Full quarter-final draw
Manchester United v Charlton
Southampton v Manchester City
Nottingham Forest v Wolves
Newcastle United v Leicester City
