The Girls Aloud singer - who has been romantically linked to the show's professional dancer Derek Hough - has reportedly been approached by bosses at the ABC network, who are keen to sign her up for the ballroom dance series in March next year.
A source told the Daily Mirror newspaper: "Her US team think it will be a great move for her and increase her profile stateside. Partnering her with Derek too would be a masterstroke and they want her to give it serious thought.
"Derek danced with Cheryl on her recent tour and enjoyed a sultry ballroom dance in her 'Parachute' video so the chemistry is certainly right."
Bosses on the show had been desperate to coax Cheryl overseas for the series starting this autumn, but the beauty - who turns 27 today (30.06.10) - will be too busy with 'The X Factor' to take part this year.
The girls immediately bonded, with Katy admitting she even had a "girl crush" on the singer.
She tweeted: "I wish Cheryl Cole tweeted, she was a sweeeeetie pateeetie today. (girl crush alert)."
The pretty singer - who is engaged to British funnyman Russell Brand - was also impressed with one of the hopefuls who had auditioned for her.
She wrote: "There's ONE star today and her name is REBECCA! GET IT GIRL! Thank you DUBLIN, X Factor & to everyone that auditioned, you were brave! (sic)"