The report claims that the England international attacker has fallen down the pecking order with the Gunners and boss Arsene Wenger is keen to move some players in this summer.
The North London club have disappointed this season, failing to take advantage of the struggles at Chelsea, Manchester City and Manchester United to fall behind in the Premier League title race.
A number of players have under-performed at the Emirates, while constant injury problems have disrupted the club’s campaign and prompted a number of inconsistent results.
The pressure is on Wenger to win trophies, and in order to do so change may well be needed.
Oxlade-Chamberlain arrived at the club from Southampton as a youngster, yet similarly to Theo Walcott, his progress in North London has been slow and somewhat underwhelming.
The Hammers have enjoyed a decent campaign under Slaven Bilic and will move in to their new Olympic Stadium next season, a factor which will help attract better quality players and bring in more revenue.
Oxlade-Chamberlain has featured sparingly this season, and a fresh start at a club such as West Ham could be in his best interests as competition for places at Arsenal is increasingly strong.