The Hammers are unlikely to have the race to sign the 34-year-old all their own way, however, as Football Italia reported that four of the biggest hitters in Serie A are all interested in signing the World Cup victor.
Gonzalo Higuain and Abraham have provided fierce competition for places since then, while Germany worldwide Timo Werner was snapped up over the summer. The player's representative, Manuello, has spoken clearly. "Things have changed for Olivier since the beginning of September, but the only thing that remains the same is his quality in the matches with France".
The 34-year-old is yet to make Frank Lampard's starting XI this season in the Premier League or Champions League, with his one start in six appearances coming in the League Cup.
"There have been €150m worth of players bought".
Giroud boasts 86 Premier League goals, four FA Cup winners medals, one Europa League success and a shedload of top-flight experience. But Lampard has the right, it is his choice, "he said".
The agent added that "if things continue like this, in December we will find ourselves where we were in December 2019".
France coach Didier Deschamps has told the 34-year-old "the situation he's in today can not drag on forever" with Giroud having played just 33 minutes in the Premier League this season.
"But we have to be honest and it is true that if this continues, he may want to live other emotions".
Remaining in England remains the preference for the experienced forward, but Manuello admits alternative options will be considered when the next window swings open.
"So if a really good Premier League club came along, yes that could be considered. But there is an open mind to go and experience something elsewhere overseas".