Remy has seen his playing time limited at Chelsea this season. Despite the struggles that Diego Costa had at the start of the campaign, Jose Mourinho seemed reluctant to give the Frenchman a run in the side.
The 28-year-old has scored just one goal in eight Premier League appearances, but he only started one of those eight games, with the majority of his game time coming as a late substitute.
With Euro 2016 taking place in the summer, Remy is likely to want more regular football to make a push to be part of the France squad as he hasn’t played for the national team since 2014.
Competition for places in the France squad is fierce, so Remy will need to be playing and scoring regularly to even be considered.
West Ham do have a lot of forward players to choose from, but adding a proven Premier League goalscorer to the squad would only be a good thing for Slaven Bilic’s men.
However, West Ham already have two Premier League loanees at the club in Victor Moses and Carl Jenkinson. A loan could only take place if one of those were sent back to their clubs. Otherwise, any move would need to be a permanent one.