Mohammed Marzouki was among 24 Qataris and two Saudis who were on a hunting trip in a mainly Shiite area of southern Iraq when they were kidnapped in late 2015.
They flew back to Doha on Friday following their release under a complex regional deal linked to the Syrian civil war.
"When I saw the lights of Doha, I felt like life was beginning again -- my happiness is indescribable," Marzouki told the local Arabic daily newspaper, Al-Sharq.
A fellow hostage, Khalid bin Dhafer Al-Dosari, told the same newspaper that "all our aches and pains disappeared once we reached our homeland".
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There was never any claim of responsibility for the kidnapping of the hunters, who were widely believed to have been taken by militias with close ties to Tehran.
While the terms of the group's release have not been made public, it has been reported that Qatar paid millions in ransom to secure their freedom.
The release deal was linked to the evacuation of thousands of people from the Syrian government-held towns of Fuaa and Kafraya, long besieged by rebels.
The evacuations marked the end of the first stage of a deal brokered by rebel backer Qatar and regime ally Iran.
Wealthy citizens of Sunni Gulf states venture to countries including Pakistan, Afghanistan and Iraq to hunt with falcons without the bag limits and conservation measures they face at home.
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