Harry was caught on camera at last year's Lion King premiere telling Disney's Bob Iger that Meghan was interested in voiceover work.
Actress Yeardley Smith, who voices Lisa on the Simpsons, told Radio Times the show also wanted teenage climate activist Greta Thunberg to appear on the show.
"It'd be great if Greta plays herself," Smith said.
"She'd be passing through Springfield and find that she has so much in common with Lisa."
The Beatles legend Sir Paul McCartney made a famous guest appearance on an episode in which Lisa stopped eating meat. He made producers promise that Lisa would stay vegetarian for the rest of the show.
"Every time I see him, he [McCartney] always checks and he's always surrounded by nine or 10 lawyers, so it's quite frightening!" Jean said.