When Chapman was asked about the Twitter proposal in an interview with NBC News, she ended the interview when it had barely begun.
"I'm not going to discuss this," she said. Then, "The interview is finished. I'm sorry."
Chapman has a new ghosts-and-aliens television program airing in Russia, called "Mysteries of the World," but her rising profile has left her even more protective of her privacy.
"I'm a very private, discreet person and I still don't do many interviews because I just don't like to share," she said. "I don't believe that people would be interested in knowing about somebody's life."
Chapman was arrested in 2010 on suspicion on being part of a Russian spy ring while posing as a real estate agent in New York City. She was deported as part of a prisoner swap along with nine others.
Snowden, will you marry me?!— Anna (@ChapmanAnna) July 3, 2013