Speaking on the Men in Blazers podcast, Arsenal's chief executive outlined an ambition that goes well beyond simply defending the club's first title since 2004.
"I dream of us being serial champions, of us repeating what we did last year and going one better, maybe, in the Champions League," Garlick said.
"This is a period of dominance. You could call it the start of a dynasty. We are aiming to dominate football on every level for the next few years."
Garlick joined Arsenal from the Premier League in 2021 and was promoted to chief executive last year, giving him a rare insider's view of the club's rebuild from also-rans to champions. He traced that journey back to his early days at the Emirates.
"The ambition has always been there," he said. "We have always wanted to get back to the top, get back to winning a major trophy. When I arrived at the club, the first talk was to get us back into Europe. We did that and we pushed on and accelerated that success to the point we were challenging for titles — but quicker than we expected."
He was emphatic that the club has no intention of easing off after ending its long wait for domestic silverware.
"Now, we are title winners," he said. "We have got to that stage and want to win more. We are absolutely saying we are not done here. It is the start, not the end. We are at the start of something big. We want to push on and just win more and more."
The comments arrive at the end of a transfer window that left some supporters frustrated, with Arsenal unable to land marquee attacking targets Vinícius Júnior or Julián Álvarez despite the title triumph. The club did spend £164m on Bruno Guimarães, Ezri Konsa and Christos Tzolis, while recouping £114m through outgoing deals, headlined by Gabriel Martinelli's £60m switch to Al-Hilal on Thursday.
Leandro Trossard, Gabriel Jesus, Christian Norgaard, Jakub Kiwior and Karl Hein also left the club over the summer as Arsenal reshaped the squad that delivered their first league title in over two decades.
That triumph was followed by heartbreak in Europe, with Arsenal losing last season's Champions League final to Paris Saint-Germain on penalties — the competition remains the one major honour still missing from the club's history.
Garlick's remarks suggest the hierarchy view last season's breakthrough as a platform rather than a peak, with the club aiming to challenge on multiple fronts simultaneously in the years ahead.