The Frenchman scored his fourth goal for the Gunners in their 2-2 draw at Schalke 04 on Tuesday night in the Champions League.
The 26-year-old is adamant that he has the confidence to score more and believes that we will soon see the best of him.
"Scoring goals is an obsession for me, and probably for all strikers," Giroud told Arsenal Player. "I must admit, I've had a little bit of a difficult start but the boss and the coaches trust in me and just say, 'Don't worry, the goals will come soon. Continue to work hard in training - you have the right qualities'.
"I'm keeping confident and continuing to work hard. I scored many goals early on in my career, and when you score it obviously makes you feel better.
"But I'm happy at the moment, and I feel I did well when I came on against Reading in the League Cup. So everything is OK, I just need to keep working hard."
Arsenal host Fulham in the Premier League on Saturday.