The next step is to transfer that success onto the European stage with a 2016 semi-final showing still the furthest the club has gone in a decade of competing.
Right-back Walker said: "I think if you had asked me this two years ago when I signed here, I would have probably said that the Premier League was the big one for me having not won it before.
"Now I have collected two of them and a number of others and this is the one that I want, and I can probably speak on behalf of the whole squad and Manchester City as well for what they need as a club to put them onto that next pedestal."
The final stages of สูตรบาคาร่า this year's competition have been repackaged as a mini-tournament in Portugal as a result of the Covid-19 pandemic.
Pep Guardiola's side continue their latest challenge against Lyon in a one-legged quarter-final at Sporting Lisbon's Jose Alvalade Stadium on Saturday.
The new format is unfamiliar and will allow less margin for error, but Walker believes it could suit City's style.
The 30-year-old said: "It is a unique situation that we are in but I feel like we just have to attack it as we attack every game, whether that is in the Premier League, cups or Champions League.
"We feel that our team as a whole and the way that we play and our philosophy is going to stand us in good stead to get us to where we want to be in the tournament, which is the final."
City confirmed their place in the quarter-finals with victory over 13-time winners Real Madrid in the long-delayed second leg of their last-16 tie last Friday.
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