Pep Guardiola’s side bowed out of the competition we have won in each of the last four seasons on penalties, losing 5-3 in the shootout after a goalless 90 minutes.
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Phil Foden missed the decisive spot-kick, dragging his effort wide of the right post as City were eliminated from the League Cup for the first time since October 2016.
In an entertaining affair at the London Stadium, the visitors peppered the home goal with 25 shots, but found Alphonse Areola in good form.
The Frenchman kept out a John Stones header from point-blank range, and made a smart stop with his leg to deny Cole Palmer, whilst Ilkay Gundogan and Nathan Ake both put wide from promising positions inside the area.
Zack Steffen was less busy at the other end, with Oleksandr Zinchenko making a crucial block from Andriy Yarmolenko’s effort after the American had beaten away Arthur Masuaku’s fierce drive.
Tomas Soucek also fired wide after good interplay between Aaron Cresswell and Nikola Vlasic but, in the shootout, David Moyes’ men held their nerve to convert all five penalties.
