The Take That star, who is reportedly a big fan of the council-estate drama, will play a festival organiser called DJ Scouse Mouse, according to The Mirror.
Orange's character - who will be seen dressed in a mouse outfit - will stage an event on Chatsworth estate, home of the Gallagher clan.
An insider told the newspaper that Orange was well received on set and put in an excellent cameo performance.
The source said: "He had a great time on set and was line perfect for a triumphant TV acting debut. But it's hard to say who was more excited about it - him or the production team."
Orange will appear in the seventh episode of the 14-part series, which sees Frank Gallagher (played by David Threlfall) take a bow after 11 series.