"They can't afford us. It's like why would we want to do it for f***ing peanuts?"
Sharon added they were paid "really well" by MTV and that the family owned the rights to the show.
Even if the money was right, Sharon might have a tough time trying to convince Ozzy to sign up for another series.
The Black Sabbath singer revealed in a previous interview that he was "stoned" the whole time during the filming of the original series.
"When the filming ended, I'd go in my little bunker and smoke a pipe and drink about a case of beer every day," he said. "I'd give myself some goodness and get up early in the morning and go jogging for six miles."
Jack Osbourne previously told People TV that Ozzy "hated reality TV" after making The Osbournes.
"He hated the experience, he hated the way that he was portrayed and he was like, 'It's not what I do, I'm a musician,'" Jack said.
Another Osbourne family member who felt the same way was the eldest child, Aimee. She refused to take part in the reality show and even moved out of the family home to avoid the cameras.
"She just wants to be left alone," Sharon told Howard Stern.
"While the kids were doing their thing and, you know, the big circus that was following us, Aimee was just living her life quietly.
"Do you remember the show, was it The Munsters where they had the normal girl, Marilyn? That's Aimee."
Sharon spoke about her eldest daughter on The Talk back in June and said she was heartbroken when her daughter decided to move out because of the reality show.
"I know that my eldest girl, Aimee, left home at 16 and she couldn't live in our house because we were filming and it drove her insane," Sharon said.
"She felt too that she didn't want to grow up on camera. She hated the idea — it was appalling to her … so she left at 16 and I regret every day that she did.
"She was happy but it broke my heart when she moved."