Pep Guardiola's men went undefeated in the six group stage fixtures, winning four matches and drawing twice to top the group with 14 points and book a place in the last-16 draw.
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We rounded off the group stage in perfect fashion, beating Sevilla 3-1 at the Etihad Stadium with Alvarez grabbing one goal and two assists in a wonderful attacking display.
The Argentine admitted his delight with the campaign so far and is keen for more to come.
"I think we did well. We are happy with the performance in the group stage.
"Every game is important for us and carrying on winning is good for the confidence of the players.
"Especially today for example with players who usually play less minutes.
"So I think it is important for all of us to keep on winning."
Alvarez also spoke about teenage teammate Rico Lewis, who scored on his first ever start for City and also touched on this weekend's Premier League clash with Fulham.
Watch the entire interview via the video at the top of the page.