"I said this girl is a stalker of mine and please do not let her in," Abdul said Monday during an interview with Barbara Walters on her Sirius XM radio show.
Goodspeed was found dead of an apparent suicide in a car near Abdul's home last month.
Abdul said "Idol" producers ignored her protests and brought Goodspeed on the show "for entertainment value."
"It's fun for them to cause me stress," Abdul said. "This was something that would make good television."
At the behest of producers, Goodspeed appeared on the show more than once, Abdul said.
Both Fox and Fremantle Media North America, which produces "American Idol," declined to comment Tuesday.
Abdul, 46, said Goodspeed had written her "disturbing letters" for nearly 18 years and that she maintained a restraining order against the woman at times.
The "American Idol" judge also accused Fox of making her home address public, although she added that Goodspeed found the place on her own after an audition: "She followed me home with her mom."
When Walters asked why Abdul remains on a show that put her in peril, Abdul replied: "I'm under contract."