29-year-old Cole teamed up with The Voice UK judges will.i.am and his associate Seth Friedman when she joined The X Factor USA in 2011 before being axed by Simon Cowell.
A source told The Mirror on Sunday: "Cheryl had originally brought in a new and experienced team to help her with cracking America when news of her X Factor USA signing broke.
"But it's been two years since she was sacked and she no longer has plans or a desire to make it over there. She doesn't have a US record deal and, despite the rumours, is not going to be moving over there."
will.i.am will continue to aid Cheryl's music career in the UK after her current career break ends.
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