Giroud is one of the latest players brought in to try to fill the huge void left by Henry since he first left Arsenal in 2007, when he moved to Barcelona, and last year when he briefly rejoined on loan.
Since joining from Montpellier, where he was top scorer in his final League 1 season, Giroud has failed to make an immediate impact but is slowly making the transition.
"I am well integrated into the team, but it is important for me to speak and learn English and the customs of my new country," the forward told RMC.
"It really is a club where I feel very well and I'm improving every day. And London is a cosmopolitan city where I meet lots of people."
But when asked whether Henry would be adding to the capital's population with another return to The Emirates, Giroud said: "Thierry Henry is a great player but I do not know."