Snedeker, who last week won the £6.15 million PGA Tour Championship, inflamed passions ahead of Friday's tee-off at Medinah Country Club with his comments.
"I'm very, very competitive," he said. "People don't get that because I'm polite.
"But I'm going to try to beat their brains in as bad as I can."
Europe are bidding to defend the trophy won at Celtic Manor two years ago and Ian Poulter also engaged in some frank discussion regarding the three-day competition.
"It means too much to us for it ever to lose that edge," said the 36-year-old. "This event is unique.
"I hate to say we don't get on for three days, but there is that divide - and it's not that we don't like each other.
"We are all good friends, both sides of the pond, but there's something about Ryder Cup which kind of intrigues me.
"How can you can be great mates with somebody, but, boy, do you want to kill them in Ryder Cup?"