The 30-year-old is one of several current Chelsea players expected to leave this summer after an unsuccessful loan spell at Arsenal last season.
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Sterling scored just one goal and provided five assists in his 28 games for Mikel Arteta’s side throughout their 2024-25 campaign.
West Ham are the latest club to register an interest in the England international, with Potter pushing for the move.
According to talkSPORT, Potter, who managed Sterling during his time at Chelsea, still have a good relationship with the winger.
Fellow London club Fulham are also keen on signing Sterling, although no official offer has been made as of yet.