The Reds enter the November international break eight points clear at the top of the Premier League after goals from Fabinho, Mohamed Salah and Sadio Mane saw the reigning champions beaten at Anfield.
While affording themselves time to enjoy the win over Pep Guardiola's side, the pair were quick to point out plenty of hurdles lie ahead.
"We're on a good run of form and still unbeaten, which is what we want," Alexander-Arnold told Sky Sports post-match. "We want to keep picking up the three points.
"We know at home we've got the advantage with the fans and that, so every time we're here we want to pick up the three points and feel as though we should.