"The last couple of weeks there's been a few differing opinions out in the papers and out in the news about me and my future as leading the team," Ponting told reporters.
"It's been nice the last week especially to hear some endorsement from Cricket Australia and the selectors about that position.
"But that's where the next few days are crucial to me as well. I have to really decide what I think is right for me and the team going forward.
"I still think I've got a lot to offer the team as a player and a leader."
Ponting confirmed in his column in The Australian newspaper Saturday that he has played in his last World Cup and that his immediate playing future was up to the national selectors.
Ponting, who has been captain for nine years, had a difficult World Cup, taking a reprimand from the International Cricket Council after smashing a dressing-room TV in a fit of fury after being run out during Australia's win over Zimbabwe.
He was also criticised for angrily throwing the ball to the ground after colliding with teammate Steven Smith during their victory against Canada, and for failing to walk in Saturday's defeat by Pakistan.
Ponting said he was also unsure about a catch against India which, when referred, was shown by replays to have bounced well in front of him.
