The duo are included in Mano Menezes' 22-man squad for the tournament in Argentina which sees a mix of established internationals and younger players selected.
And Luiz and Ramires believe Brazil can come out on top.
"There is pressure and responsibility when you play for Brazil but it was always my dream to play for my nation," Luiz said.
"The pressure is big when you are representing the best footballing nation in the world, and we know it will be hard with it being played in Argentina but Brazil can do it. We always enter a competition to win."
Ramires said: "It's very important. The national team is so important to me and I want to succeed with Brazil,' Ramires said.
"It's very difficult to win it, because there are some great teams - Argentina, Paraguay, Chile, Uruguay, Mexico. In the World Cup there are often weaker teams, but there aren't many in the Copa America so you've got to be at your best all the way through.
"I'm very anxious to take part in this as it'll be my first time in the competition. I'm very much looking forward to it. Obviously I'm a Chelsea player first, but every player wants to be representing their country and I'm no different."
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