The news comes after it was revealed that the 28 year-old is set to feature in an upcoming Hollywood film, What To Expect When You're Expecting, as she continues to try to break into the US market.
It is thought that Cole's new manager, Will.i.am, is negotiating her deals.
A source told British newspaper the Daily Mirror: 'Cheryl's US dream is far from over. Her people are in talks with executives involved with Glee and How I Met Your Mother with a view to featuring Cheryl in an episode. Will reckons people in the States are really starting to sit up and take notice of her.'