Chelsea take on Arsenal in the FA Cup semi-final at Wembley on Saturday having already booked their place in the last four of the Champions League with a 7-5 aggregate win over Liverpool. They also trail Manchester United by just four points in the Premier League.
Last term they narrowly missed out in the title race and Champions League to Manchester United and were beaten in the Carling Cup Final by Tottenham.
It was the first season Chelsea failed to win a trophy since 2004 and Ballack said: "The team are hungry after finishing runners-up three times last season.
"We are not a team who have won everything in the past. If you compare us to Liverpool, they have had big success. But now we are smelling the success. We are coming close to winning something. This club need a big title to go further and that's what we are trying for.
"I want to win something. I have a few years ahead but I will give everything for the rest of the season to win one, two or three trophies."