The Frenchman signed for the Gunners last summer.
"I hope to finish up here at Arsenal, but you never know," Flamini told the Gazzetta dello Sport.
"I had five seasons at Milan and I really enjoyed it. I was playing with legends like Maldini, Shevchenko, Ronaldinho.
"It was the time of my life and it gave me some wonderful memories. We will see."
For the big stories and the banter follow us on Twitter: @tribalfootball