It has been reported by the British newspaper that Rhodes is “one of several targets” for Premier League outfit Palace.
Manager Alan Pardew wants to sign as many as four players in the summer transfer window, according to the report.
Rhodes is one of the best players in the Championship and was in superb form for Blackburn in the recently concluded 2014-15 season.
The 25-year-old Scotland international scored 21 goals and created 38 chances in 45 league appearances.
The former Huddersfield Town star had a pass accuracy of 73% and a shot accuracy of 45%, and won 70 headers, nine dribbles and 12 tackles.
Palace, though, will have to face stiff competition to sign Rhodes from Blackburn, as there are a number of other clubs interested in the striker.
The Daily Mail reported back in April that both Derby and Forest are keen on the striker, but they do not have the financial resources to match the £10m and £15m bids that are being reported at the moment.