The Blues appear open to losing the France international this summer, having already offered him to Everton as part of a huge transfer deal for Romelu Lukaku.
According to London Evening Standard, the 29-year-old is attracting interest from a number of clubs including Crystal Palace.
Eagles gaffer Alan Pardew oversaw the most productive Premier League campaign of Remy’s career, netting 14 times whilst on loan at Newcastle United in 2013/14.
But the South London club are in the market for at least two forwards and are continuing to work on a deal for Liverpool frontman Christian Benteke.
Despite clearly not being a part of Jurgen Klopp’s plans for the coming campaign, the Reds have already rejected a £23million plus add-ons bid from the Selhurst Park outfit.
Villarreal, Galatasaray and Besiktas are also believed to be targeting Remy, but former club and fellow suitors Lyon can’t afford his wages.