The Doctor Who and Torchwood actor told The Mirror that he feels honoured to have been invited for a meeting with the comedy-drama's producers in Los Angeles.
Barrowman explained: "I absolutely love the show. What would I play in it? I'm not sure what kind of character I'd like to play, maybe I could be a teacher, you know, another teacher who comes in and helps out.
"That's me just kind of brainstorming, but the fact that they want to have a meeting with me is really quite nice in itself, it's so exciting!"
In January, it was revealed that the star is joining the cast of Desperate Housewives for a five-episode stint as a villain.
Discussing his Wisteria Lane role, he added: "I just got the script last night. He is the most evil character they've ever introduced to the series. And that's saying something!"
> Click here to watch our recent interview with John Barrowman