The Gunners won their first Premier League title in 22 years last season before suffering an agonising penalty shoot-out loss to Paris Saint-Germain in the Champions League final.
Garlick, however, told the Men In Blazers Media Network that being crowned champions of England was only the beginning for the north London club.
"There was a moment where we enjoyed it, and you saw that enjoyment," he said.
"We are absolutely saying we're not done her…