Mourinho snapped up Schwarzer yesterday on a free transfer from Fulham.
Asked if he'd spoken to his new gaffer, the Aussie told chelseafc.com: "I have yes, a couple of times, and a few of the players now as well, so it's all systems go really. It's a new beginning for the club, very exciting times and I'm just as excited as anyone else.
"I still have a lot of aspirations to play for my country. I want to play another World Cup, we've just qualified for Brazil and I want to continue to play at the highest level for as long as possible. Obviously Petr is a fantastic goalkeeper and the number one goalkeeper at Chelsea but I am here to help push him along, he will hopefully push me along and help the younger keepers at the club as well. I'm very excited of the challenges ahead."