Giroud believes he has been signed to play alongside the 28-year-old, not replace him.
"When you make the decision to join a great club, you know there is already a great forward. I know what to expect," he said.
"Van Persie is a fantastic player who was outstanding last season. He has been at Arsenal for eight years, I hope I will have time to adapt and improve.
"Anyway, I don't go there to take his place."