"Whatever SNL wants from me, they can always call me," the smiling 27-year-old said in an interview. "I don't know who told them I can act or anything, because I can't. I don't know what they saw. [But] whatever they need from me, they can get."
The singer-songwriter's October 20 appearance as host and musical guest gave the NBC variety show its second-best ratings this season behind last week's episode, hosted by comedian Louis C.K.
Bruno was praised for his hilarious and silly sketches, particularly one skit where he did impersonations of other musicians as a live fill-in at Pandora when the company's computers crashed.
"It was kind of a way for me to face my fears and just let it all hang loose, literally," he said, laughing.
"People don't understand that they're changing things right before the show, so you can't memorise lines because they're going to change it. They cut sketches, and it's an amazing operation. I wouldn't trade that experience for the world."
The Grammy winner says he watched the show days after it aired live, and that's when things started to sink in, especially seeing himself dressed as a woman.
"I was like, 'Oh my god'," he said, adding with a laugh that he had to call his mum.
The SNL success is giving Bruno a boost before the release of his next album, Unorthodox Jukebox, in December.
On SNL, he debuted a new song, Young Girls, and performed his current US single, the upbeat Locked Out Of Heaven. It's his 12th top 10 hit on the Billboard Hot 100 chart as a performer, songwriter or producer.