The former Daily Mirror editor is backing Cheryl to become a judge on the new US version of the show because she would go down a storm.
Scottish newspaper the Daily Record reports he said: 'I think she would be very successful. She's got everything that you need in America.
'She is hard-working, she looks great, she is charismatic on screen and she knows her stuff. She won her spurs on X Factor so I think she will be a big hit there.'
Cole, 27, has been rumoured to be moving to the US to become a panelist on the show, although this has not yet been confirmed.
Morgan is due to take over CNN legend Larry King's chat show in the new year.