The Americans have won nine of 11 prior editions - with one tie and the lone global triumph coming back in 1998.
"We've had a discussion already and none of my players want to do that (protest)", Stricker said.
"We like to compete, and we don't like to get beaten".
Price pulled one surprise by pairing rookies Kim Si-woo and Emiliano Grillo for the third match.
Woods answered a wide range of questions from his health, to the firestorm surrounding the national anthem, to the quake in Mexico, during an afternoon gathering of assistants from the United States and worldwide teams.
Jason Day is ready to take back the Presidents Cup.
"Do I necessarily think it's the right time to do it? No".
Tiger Woods has admitted for the first time that his competitive golf career could be over due to his prolonged back trouble.
JERSEY CITY, N.J. -This season will be remembered as the Year of Justin Thomas.
"We have our flag, our freedom", he said.
In recent years, it's hard to argue that any one player in golf gets more fired up for team competitions and the chance to represent his country than Patrick Reed.
The ever-polite Fowler, though, says that is not a problem.
"I enjoy being out here with the guys", Woods, a 79-time victor on the US PGA Tour. That doesn't matter when you tee it up on Thursday. The team is being captained by Steve Stricker. A five-time Ryder Cup victor in eight appearances as a player, he captained the victorious European side in 2006.
"If you look at the talent on the global team, it is strong and it is deep", he said. "We're doing our best to try and just control what we can control because tomorrow is a big day in shutting down any momentum they may feel". "I've always said this - 18-hole match play is anybody's game".
He and Oosthuizen-who both hail from South Africa and play together frequently-were paired up from the start and won all four matches together. Even if that future means he can no longer play competitive golf again.
But Spieth and Reed, who will have the support of a vocal NY area crowd, don't plan to let their inexperienced opponents get a foothold.
The Americans also have home advantage and, on paper at least, another victory for the hosts looks the most likely outcome.
"We are hoping we get a lot of support out here".