A handcuffed Martinelli, wearing a tan suit and escorted by US Mashals, greeted reporters gathered to see him at the airport.
"I'm ready to watch the World Cup!" he said, giving a thumbs-up. Panama qualified for the tournament, which begins on Thursday.
Martinelli, 66, is accused of spying on the telephone calls of more than 150 people, including journalists and politicians.
He is under investigation in Panama in about 20 other cases of corruption, but those are not referred to in the extradition request. Under a 1905 extradition treaty, he can only be tried in Panama for the crimes alleged in the request.
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