The hip-hop star's collaboration with DJ Khaled, entitled Theraflu, has been uploaded to music hosting website Soundcloud and includes some very personal lyrics relating to Kim, her estranged husband Kris Humphries and Kanye's ex-GF Amber Rose.
He raps: "And the whole industry want to f**k your old chick/Only n***a I got respect for is Wiz/And I admit I fell in love with Kim/'Round the same time she fell in love with him/That's cool, babygirl, do your thing/ Lucky I ain't had Jay drop him from the team."
The "Wiz" mentioned is rapper Wiz Khalifa, who is now engaged to Amber Rose.
The "Jay" is Jay-Z, who is part owner of the New Jersey Nets, the NBA team that basketball star Kris Humphries plays for.
And if that wasn't enough controversy for one track, Kanye also takes a pop at animal rights group Peta - which regularly chastises celebs for wearing fur.
He raps: "Tell PETA my mink is draggin' on the floor."
And he rhymes that with a boast that he "had dinner with Anna Wintour"!