The France international has finalised his transfer to the Emirates, but admitted he could have ended up at Stamford Bridge if manager Roberto Di Matteo "had known him" better
The France international completed his move to the Emirates from Montpellier on Monday for a reported fee of €15 million, after playing a key role in the Ligue 1 side's title-winning 2011-12 campaign.
But Giroud, whose contract with Arsenal will commence on July 1, admitted the Gunners were not the only Premier League side to show a concrete interest in acquiring his services.
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Fellow London outfit Chelsea have been scouring the market for a replacement for Didier Drogba and it has emerged that Roman Abramovich wanted to bring the 25-year-old striker to Stamford Bridge.
Giroud revealed to TF1: "The choice was between Chelsea and Arsenal. I chose Arsenal because of the club's philosophy and stability.
"It is something that means a lot for me. I've always dreamed of playing in the Premier League and Arsenal are a great club with many French players."
"I adore Arsenal, Wenger really wanted me and I wasn't sure Di Matteo knows who I am."