The former detainee demanded Canberra to pay for his medical bills. Hicks claimed he was beaten, drugged and sexually abused during his prison sentence.
"I do think that someone should be responsible for my medical expenses," Hicks told reporters in Sydney.
"The Australian government were aware of the conditions I was being held in at the time. They should at least pay my medical expenses. That is not much to ask for, I don't think."
His lawyers have claimed Hicks made the guilty plea under duress and was innocent.
"I am sure no one is surprised by today's long-awaited acknowledgement by the government of the United States of America of my innocence. Even the Australian government has admitted that I committed no crime."
Hicks spent five years in the US notorious detention camp in Cuba when he pleaded guilty to providing material support to known terrorist group Al-Qaeda. He was captured in 2001 in Afghanistan fighting alongside the Taliban against US-led forces. He was one of the first prisoners sent to the detention camp opened in Cuba on Jan. 11, 2002.
Hicks admitted he had trained at an Al Qaeda camp in Afghanistan and met the Islamist group's leader Osama bin Laden. He also confessed he took part in paramilitary training in Afghanistan and Pakistan, conflicts in Kosovo and Kashmir, claiming never to have extremist intentions.
Australian Prime Minister Tony Abbott told reporters there would be no apology from the government. According to him, it "did what was needed" to help him while in Guantanamo.
"Let's not forget… he was up to no good on his own admission," Abbot said.
John Howard, the prime minister while Hicks was in jail, supported his stance.
"Nothing alters the fact that by his own admission, Hicks trained with Al-Qaeda, met Osama bin Laden on several occasions — describing him as a brother. He revealed in jihad," said Howard.
"He is not owned an apology by any Australian government."
