Morrison, 32, plays the role of teacher Will Schuester in the TV series and thinks a role on the show could help her career after her exit from the US X Factor.
He said to Britain's Reveal magazine: 'Cheryl is on the front of every newspaper and magazine in the UK. It's not the same in America but I think she can crack it. She's a talented girl.
'Appearing on Glee would be a good way for Cheryl to crack America. She was part of Fox when she was in America and they also make Glee. Maybe she will get an appearance - you never know.'