Giroud admits he feared for his place when Arsenal were chasing the Argentine during the summer.
"Olivier Giroud always had a better second season everywhere he played than the first one," said Wenger.
"He is already one of the leading strikers in Europe. Will he improve, be better in all the aspects of his game? As long as all the aspects are there, the attitude is there as well, then at 27 you always think the best years are coming for him now.
"I am hoping he can make his mark in the Champions League. If the team performance is good, then I am sure that he will."
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