The France international striker saw a potential move to the UEFA Champions League finalists fall through after Mario Mandzukic caught the eye at Euro 2012.
But the former Montpellier man has no regrets about the fact that he subsequently joined the Gunners because he is enjoying life in the Premier League.
Asked if he had been in touch with Bayern, Giroud was quoted in The Sun as saying: "Not directly but my agent was and it was validated by Bayern.
"They wanted time to watch the Euros and Mandzukic had a good tournament.
"The fact I was wooed by Arsenal is good. I'm very happy here. English football is what I hoped for.
"The people live, eat and sleep football here."