The United States have dominated the biennial tournament, winning every edition bar one in 1998.
That was the last time the tournament was played in Australia and, as the teams return to Royal Melbourne, Norman is confident the local contingent can help tip the scales in his side's favour.
Norman announced course specialist Robert Allenby and former Australian Open winner Aaron Baddeley as his captain's picks for the event, while US captain Fred Couples selected Tiger Woods and Tour Championship winner Bill Haas.
"They are extremely excited," Norman said of his team. "They want to get down there. They know they have lost the Presidents Cup every year except one, and they want to try to win The Presidents Cup, no question, and the Aussies want to do it in their backyard.
"I think the competition is going to be closer and tougher than what we experienced in '98."
Couples had announced in August that former world number one Woods, now ranked 50th in the world, would be one of his two picks, despite not having won a tournament since November 2009 - coincidentally in Australia.
Haas is fresh from winning the Tour Championship in a play-off with Hunter Mahan on Sunday, which also secured him USD 10million for topping the FedEx Cup standings.
The Presidents Cup takes place at Royal Melbourne from November 17-20.