The Girls Aloud star is allegedly a fan of the former X Factor contestant and is eager to help her break into the music industry.
A source told the Daily Star: "Cheryl loves Misha B's attitude and her quirkiness.
"She's been telling her music team in America that she would love to work with Misha in the future and help her get a foot up in the music industry."
Cole is currently working on her third studio album and is thought have recently enlisted the help of Jessie J songwriter Talay Riley.
Meanwhile, Missy Elliot previously showed her support for Misha B after congratulating the 19-year-old for her X Factor success via Twitter.
Watch Misha B perform on The X Factor below: