The striker joined the Gunners last summer for €11.4 million after a breakout season in which the 26-year-old finished as top scorer in Ligue 1 with Montpellier, winning the title, and featured at Euro 2012 for France.
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"When you replace Van Persie, people are demanding of you," Giroud told Le 10 Sport. "Criticism has not always been deserved but I'm focusing on what I have to do.
"I have progressed every day in training. I'm enjoying every day and I want to keep going.
"England? This is what I aspired to, with its atmosphere and intensity. Every weekend I play in big games - that's what makes the difference. It's really part of their culture."
Giroud was sent off in the Gunners' clash against Fulham in April, picking up a three-game suspension, of which he has served two matches.
Having missed the games against Manchester United and QPR, he will also sit out the home match against Wigan but will be available for the final-day trip to face Newcastle as the Gunners look to secure a top-four finish.