In the Funny Or Die clip, Carrey is seen doing an unflattering impression of the late National Rifle Association President Charlton Heston, and then singing a country western-style song about the perils of assault rifle ownership.
Fox News personality Greg Gutfeld called Carrey a "moral coward."
"He thinks this is biting satire? Going after rural America and a dead man?" Gutfeld said.
"Since I released my 'Cold Dead Hand' video on Funny or Die this week, I have watched Fux News rant, rave, bare its fangs and viciously slander me because of my stand against large magazines and assault rifles," Carrey said in a statement Friday. "I would take them to task legally if I felt they were worth my time or that anyone with a brain in their head could actually fall for such irresponsible buffoonery. That would gain them far too much attention which is all they really care about.
"I'll just say this: in my opinion Fux News is a last resort for kinda-sorta-almost-journalists whose options have been severely limited by their extreme and intolerant views; a media colostomy bag that has begun to burst at the seams and should be emptied before it becomes a public health issue.
"I sincerely believe that in time, good people will lose patience with the petty and poisonous behavior of these bullies and Fux News will be remembered as nothing more than a giant culture fart that no amount of Garlique could cure.
"I wish them all the luck that accompanies such malevolence."