"This is one of the most prestigious cemeteries in the world, it's not for animals.
"It should be reserved for superstars."
Hollywood legends Truman Capote, Dean Martin and Jack Lemmon are also buried in the cemetery.
Paris offended Marilyn fans last month when she told Britain's Guardian Weekend magazine: "I think every decade has an iconic blonde, like Marilyn Monroe or Princess Diana.
"And right now, I'm that icon."

In other news, Paris Hilton has been attacked by one of her pets.
The hotel heiress, known for her love of animals, was reportedly bitten on the arm by Baby Luv, her kinkajou monkey, in the early hours of Tuesday morning (08.08.06).
Paris, who adopted the creature last year, had been playing with the simian when it turned nasty and decided take a chunk out of her, according to tmz.com.
The 'House of Wax' actress' spokesman, Elliot Mintz, has confirmed the incident and has revealed he drove the blonde to hospital at around 3am to receive treatment on the superficial wound.
Paris, was seen by a doctor and given a tetanus jab to stop the bite from becoming infected, and according to Mintz she is fine.