The all-singing-all-dancing series is becoming well-known for its celebrity guests, which have included Jennifer Lopez, Eve, and Josh Groban, while stars including Susan Boyle and Justin Timberlake are rumoured to be in talks to appear in the upcoming second season.
Perry is adamant she wants to be included and has appealed to her fans to take to the internet to persuade show bosses to hire her.
She says, "Please! I would love somebody to start that Facebook group and persuade them. I would absolutely love that."