According to the statement, Mr Chen said he tried to take his own life to protest against his conviction.
Mr Chen said his relatives had been constantly harassed since he left for the US in May last year.
Speaking after meetings in the US Congress, Mr Chen said Beijing had not fulfilled guarantees made to him when he left China.
Mr. Chen said there are no signs of an epidemic but noted the approaching springtime is the key period to prevent disease.
Mr. Chen said he has been speaking with an official from the Chinese government about a probe into his treatment by local authorities, who he targeted as part of his work fighting against forced abortions and sterilizations under the auspices of China's one-child policy.
The U.S. urged the Chinese government not to punish those who helped Mr. Chen and said that Beijing had pledged to investigate local officials who Mr. Chen has alleged mistreated him.
WSJ: Blind Chinese Activist Chen Guangcheng Challenges U.S. Deal
Last November, prosecutors also indicted the president's wife, Wu Shu-chen, and said Mr Chen himself was protected only by his office.
Lawyers who have taken up the case of Mr. Chen's nephew said it wasn't clear how Mr. Chen's departure would affect the outcome.
Mr. Hu said Mr. Chen had been working on a way to escape since his confinement began in 2010 and that he had tried in 2011 to dig a tunnel into his neighbor's compound, but that it had been discovered by guards.
Mr Chen's colleagues said the escape from house arrest had taken months to plan, and was carried out with the help of a network of friends and activists.
Chinese foreign ministry spokesman Liu Weimin earlier said Mr Chen had been taken into the US embassy "via abnormal measures", the Chinese authorities were "strongly dissatisfied", and the US should apologise.
The BBC's Michael Bristow in Beijing says both US and Chinese officials initially said Mr Chen had left the embassy of his own volition, but a more complicated story soon began to emerge.
These reports contradicted one US official, who said Mr Chen had "made clear from the beginning that he wanted to remain in China, and that he wanted his stay in the United States Embassy to be temporary".
"They wanted to have some socialist models or some communist models to be safe, " said Mr. Chen.
Ms Zeng said that Mr Chen "had no choice" because "thugs with sticks" were waiting for him and his family in their home village in Shandong.
Ms Zeng said that Mr Chen "had no choice" because "thugs with sticks" were waiting for him and his family in their home village in Shandong province.
Friday's furious efforts to resolve the impasse which threatened to cast a pall over the conclusion of the bilateral summit and potentially damage longer-term U.S.-China relations included numerous phone calls between U.S. Embassy officials and Mr. Chen, the officials said.
Also unclear, supporters said, was whether Mr. Chen would someday be allowed to return to China, something he has said he intends to do.
"They're just making up excuses, " Mr. Chen, the activist, said in an interview earlier this week.
As you have said, Mr. Chen told State Department officials that he wanted to stay in China.
"The pop people think it's too weird and the weird people think it's too pop, " Mr. Bing said of Fol Chen's music.
Stephane Legarde, from Radio France Internationale, said men at Mr Chen's village took the memory card of his digital recorder and his Chinese media accreditation, AFP reported.
Ms. Xia said that Mr. Chen would have to assess what role he can play from the U.S. because the reception of his views and opinions of him inside China will change.
Officials said that Mr. Chen entered the U.S. Embassy on April 26, several days after his escape, with the help of embassy personnel and that the U.S. helped Mr. Chen on humanitarian grounds because of his foot injury, adding that he scaled no fewer than eight walls during his flight.
WSJ: Blind Chinese Activist Chen Guangcheng Challenges U.S. Deal
On her Twitter account, human-rights activist Zeng Jinyan said she spoke to Mr. Chen's wife, Yuan Weijing, on Wednesday and was told authorities had threatened the Chens if they didn't stay.
WSJ: Blind Chinese Activist Chen Guangcheng Challenges U.S. Deal
According to American press reports, China's negotiator in the discussions about Mr Chen's fate at one point angrily said he did not want to talk to his American counterpart any more.
Mr. Hu, who came to the U.S. in 1987 to study and then wasn't allowed to return to China, said his advice to Mr. Chen would be to keep to his original goals and standards, not to raise or lower them.
Mr Chen was furious about the sentence, which he said was retaliation for his escape.
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