Giroud has scored 17 goals in his last 17 starts for Les Bleus, including a hat-trick in the 5-0 thrashing of Paraguay earlier in the month as well as a spectacular strike in the 2-1 defeat at the hands of Sweden on Friday night.
Giroud - who renewed his contract with the north London club in January - has been with Arsenal since a £9.6m ($12.2m) move from Montpeller in 2012 and has gone on to score 98 goals in 226 games in all competitions. It's been the story of my career.
Giroud said, "Wenger is counting on me, even though he hasn't used me much".
"It does get to you after a while, especially because you're doing the job on the field".
However, the report also details that the 63-time capped France worldwide is keen to remain in London alongside staying in the Premier League, leaving the Hammers as the ideal destination on paper. 'The pseudo-debates don't really capture all of my attention, to be honest'.
Benzema is facing charges relating to an extortion scam over a sex tape involving France teammate Mathieu Valbuena.
But Giroud added: "Obviously a forward is judged on what he brings to the side, how he is involved in the game".
Billionaire Moshiri to spearhead Everton’s Italian job
Indeed, it is only by virtue of Falcinelli’s prowess in the final third that Crotone still remains in contention to survive. In Romelu Lukaku, Koeman has a player with the capability of firing Everton to far headier heights than seventh place.
Having also featured as a substitute in the FA Cup final with Danny Welbeck preferred ahead of him, Giroud recently admitted that he would consider leaving the Gunners in search of more game time.
As a central striker, Giroud sets up goals more often with Arsenal than with France, notably because the Premier League's physical style means that teammates play closer to him than they do with France.
'I have to put it away and I'm doing that.
For several years, Giroud played second fiddle to Benzema.
Similarly Giroud, who could feature in tomorrow's friendly against England, has not always been the most popular player in the France setup and was booed by fans in the build-up to Euro 2016.
Perhaps unsurprisingly, the news that Giroud is on the Hammers' radar has gone down extremely well with their fans on social media, after Slaven Bilic's men endured an extremely frustrating season.
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