A statement posted on the club's website read: "Chelsea Football Club is concerned to hear that a small number of fans travelling back by train from Norwich were alleged to be involved in racist chants and comment.
"We are working to help the relevant authorities identify those responsible and will take the strongest possible action should these allegations prove to be true."
The statement continued: "The club, like the overwhelming majority of our fans, strongly believe that all forms of discrimination are abhorrent and have absolutely no place in society."
The news comes just a week before Chelsea face QPR in a potentially explosive FA Cup tie at Loftus Road.
Blues captain John Terry has been charged with racially abusing QPR defender Anton Ferdinand during the Barclays Premier League game between the two clubs on October 23.
Terry, who denies the allegations, is set to face a hearing at West London magistrates court on February 1.
Chelsea were forced to condemn supporters who were clearly heard chanting "Anton Ferdinand, you know what you are" in their 1-1 Champions League Group E draw at Genk's Cristal Arena on November 1.