Hatch is imprisoned in West Virginia for failing to pay taxes on the $1 million prize he won on thehit CBS reality show's debut season.
Hatch is scheduled to be released next month and had asked a judge's permission to serve his period of supervised release in Argentina. His request was denied Monday.
He said he is married to an Argentine national whose family is unable to travel to the United States. He said he's stayed out of trouble in prison and has a right to pursue business opportunities in South America.
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