Simon's character is the strict guy they have to deal with to get the baby a place.
Simon's a big star in the US after the massive success of American Idol.
"Simon's very popular in the US," a Simpsons spokesman said. "We thought it would be funny if he played the nursery school
"There's a history in American television of people we love to hate - fun villains. But overall, I'd say he's liked rather than loathed."