"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."
The animal loving hotel heiress has many pets including two chihuahuas, a ferret, a monkey and a goat called Billy.