Giroud netted a brace against Hull City in the FA Cup on Tuesday night, taking his tally for the season to 22 goals in all competitions, as his side advanced to the quarter-finals of the competition.
Despite his impressive return, it was just the Frenchman's first goal in 12 games for the Gunners and his manager now wants to see his centre forward enter another purple patch.
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"Look, it is a weight on the shoulders when the players don't score,” Wenger told the club's official website. “So the fact that they score will of course take that weight off.
"Overall, I am pleased that [Giroud and Walcott] scored. But it is a bit cyclic always, especially for Giroud. Giroud has cycles so it was a weight off his shoulders.
"You know this season for example, he has had games where he has gone boom, boom, boom, boom, boom and after he had a little spell where he didn't score. Now I hope he has a repetition of his former spell and starts to score again.
"Between what he says and what is real, even I don't really know what is going in there. You know that if you don't score and you are a striker, somewhere you are not happy.”