Camp commander colonel David Heath told reporters he thought it was "unrealistic" to expect the prison to close during his two-year posting which ends in mid-2016.
The closure of the prison, set up to hold detainees from President George W Bush's post-9/11 "War on Terror," was a prominent part of Obama's election campaign in 2008.
Yet attempts to realize his ambition have been thwarted by domestic and international obstacles, leaving the fate of the jail and its prisoners in limbo.
"After practicing it several times, it was good to see we were able to do it," said Heath, who notified al-Odah in person of his release, the first in five months.
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A further 79 detainees who have never been charged or tried for any crime have also been approved for release by a special committee.
Around a dozen more prisoners could be released in the coming few months, a US Department of Defense official told AFP.
Some former Guantanamo detainees have re-emerged in the ranks of jihadists since their release, and the possibility of more prisoners being freed is likely to run into opposition from Obama's Republican opponents who now control both chambers in Congress.
Heath insists he does not have a strong view on the future of Guantanamo.
"I really don't have an opinion on whether the facility should close or not," he said.
But Heath admitted he was skeptical that the camp could close before his posting ends in June 2016, just seven months before Obama's successor is sworn in.
"I think that's an unrealistic hope," Heath said. "I'll run it the best I can until either I'm told to close it or I leave in 2016.