The French midfielder re-joined the Gunners on a free transfer from AC Milan last week after spending time in North London between 2004 and 2008.
29-year old Flamini made his second debut on Sunday, replacing the ill Jack Wilshere late in the first half of the eventual 1-0 win over Tottenham, and was delighted with how his return to the Emirates Stadium went.
"I really have the sensation of being back home. Playing against Tottenham in a big derby, it was a great emotion, a great feeling," he told the club's official website.
"Playing against Tottenham is never easy but it is special for the club, for the fans and for the players.
"Of course, for me it was my first game and I wanted to show everyone how committed I am to this club, how I am ready to give everything on the pitch. I hope everyone saw it; I really did my best when I came on.
"I have heard it a lot [that it is like I have never been away]. I feel like I never left.
"There are players I played with before, and even staff, there are a lot of people still here that I knew before and the [relationship] with the fans was just amazing. I just want to thank everyone for the nice atmosphere on Sunday. It was great."