The director's classic 1979 movie is released on Blu-ray this week alongside a new 'Director's Cut' box-set of The Who album which inspired it.
Asked if he was ever tempted to return to his characters for a follow-up, Roddam told Digital Spy: "There was talk of a sequel, but it never really came to anything. There's even talk of a sequel now - not with me, but with other people.
"Martin Stellman, one of the writers who worked with me, is in conversation with The Who's management about it, but it depends. Would I prefer there not to be a sequel? Probably."
He continued: "I'm not a great sequel kind of guy. It's a bit of commercialism, isn't it? It breaks away from the authenticity. When you say, 'Why are we making this movie?'
"If you're making it because you're riding on the back of something else - it's a different thing. I want to authentically show how young people feel about sex, drugs and rock 'n' roll."
Roddam said of his film: "It's about teenage angst. It's an honest film. I think there's tremendous integrity to the piece. We were very sincere about what we were doing. It's authentic, it's authentic emotion.
"James Joyce once said that sentimentality is unearned emotion and I see a lot of movies with unearned emotion - you're supposed to care about people you don't even know."
Asked who he would cast in a 2011 remake of the film, Roddam said: "It would not be Justin Bieber! The great thing about Quad was we were allowed to take people from the street, virtually... a lot of them were better than the trained actors."
Of whether there could ever be a Quadrophenia-type movie based around a current music scene, he added: "Definitely. Eminem did one in a way, with 8 Mile.
"I think Eminem's terrific by the way, I think he's got a great ear and a great understanding. He's a bit of a genius as far as I'm concerned.
"If you take somebody like Damon [Albarn] from Blur - you can have a much bigger look at the world now. When Quadrophenia came out those guys didn't understand their world.
"They didn't even understand their patch, their manor. But now Damon, he's got an international feel about it. So I think that's a slightly different thing."
Of the decision to make a narrative piece compared to Ken Russell's rock opera version of The Who's Tommy in 1975, Roddam said: "I adore Ken - I grew up on watching Ken's BBC's movies, I think he's just a master. But it's a different type of director.
"He did a rock opera with orchestration. I thought it was essential just on a commercial level that the film should have a different approach. Also, no artist likes to copy another artist - no filmmaker likes to copy another filmmaker.
"There was a common sense element, but I also thought that the subject matter demanded rock 'n' roll. This is about the street."
Franc Roddam's Quadrophenia is out on Blu-ray today (November 14). Quadrophenia: The Director's Cut is also released today.
> Pete Townshend: 'Quadrophenia felt like the end of The Who'
> 'Quadrophenia' to make stage debut
Watch a video from last week's Evening with Pete Townshend launch of The Who's Quadrophenia: Director's Cut.