Paterson's office said the skit ridiculed people with physical disabilities and implied that disabled people are incapable of having jobs with serious responsibilities.
"The governor is sure that 'Saturday Night Live,' with all of its talent, can find a way to be funny without being offensive," Paterson spokesman Errol Cockfield said in a statement Sunday. "Knowing the governor, he might even have some suggestions himself."
The skit that aired Saturday featured SNL cast member Fred Armisen as Paterson, who must appoint someone to replace Sen. Hillary Clinton. Armisen said he has three criteria for filling the job: economic experience, upstate influence and someone who is disabled and unprepared for the job - like himself. He held up a chart illustrating the state's job losses upside down.
No one from NBC, which produces SNL, could be reached for comment early Monday morning.
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