The Iranian-American Washington Post journalist was freed on Saturday in a prisoner swap between his two homelands, and has been flown to Landstuhl in Germany to receive treatment after his ordeal.
"I want everyone to know that I'm feeling fine, and I feel lucky to be here at a place where I can get such terrific care," he said, thanking medical staff and the Swiss diplomats who helped oversee his release.
"I've spent a lot of my life writing about the United States and Iran, and I never imagined -- and never wanted -- to become a part of the story, particularly at such an extraordinary moment," he said.
Rezaian was arrested in July 2014 along with his Iranian wife, who was later freed and was allowed to leave Tehran with him, her mother and two more former US prisoners at the weekend.
"I want to get back to writing the US-Iran story at some point in the future. But I won't be saying anything further for a while," he said.
"I hope everyone will respect my need for privacy as I take some time for myself and for my family. For now, I want to catch up with what's been going on in the world, watch a Warriors game or two, and see the Star Wars movie.