"She thinks she's Jen Aniston now, not talking about her personal life," scoffed Stern. "Wait until her shows ratings drop... then they will trot out Kanye in his underwear."
But one celebrity feud Stern squashed is the rumored one with his "America's Got Talent" cohort Howie Mandel. "No feud," confirmed Stern. "We've been friends for a long time."
The morning radio show host will join Mandel and Sharon Osbourne on the judges' panel -- a job Stern originally turned down. "The producers approached me, and I said no. Then they said they'd move the show to NYC, and I said 'Let's do it.'"
Stern's anticipated debut on "America's Got Talent" happens May 14 on NBC.