Giroud has now managed to net six times since his £12million move from Montpellier in the summer, but says there are plenty more to come.
Giroud said: "I'm starting to quieten the doubters a bit. I'm feeling better and better in this team and I think you can see it.
"Last year, I scored 21 goals in the league and only one of them was with my head, but it's true that I'm getting a lot more crosses here.
"I'm trying to build an understanding with my new team-mates and we are getting to know each other more and more."