“I made a promise to Fawzia, the Yazidi who was hostage of Hamas in Gaza, that I would bring her back home to her mother in Sinjar,” Mr Maman said after she was freed.
“To her, it seemed surreal and impossible but not to me, my only enemy was time. Our team reunited her moments ago with her mother and family in Sinjar.”
He went on to say it was one of the “most difficult” rescue operations he had ever taken part in.
“I must thank the US government, my contacts in the US, Iraq, Jordan and Israel,” he told the Jerusalem Post.
A state department spokesman said the US on Tuesday “helped to safely evacuate from Gaza a young Yazidi woman to be reunited with her family in Iraq”.
More than 6,000 Yazidis were captured by IS militants from the Sinjar region in Iraq in 2014.
Many were sold into sexual slavery or trained as child soldiers and taken across borders, including to Turkey and Syria.
Over the years, more than 3,500 have been rescued or freed, according to Iraqi authorities, with around 2,600 still missing.