I think by fair trial he means he doesn't want to be tried under the Espionage Act of 1917 which would allow the trial to be secretized, for the evidence to be withed from the jury etc. I'm writing the details from memory, so some might be inaccurate, but that's the gist I got.
EDIT:
Here's a bit of clarification (quick find on Google, not necessarily the most comprehensive): https://www.france24.com/en/20190916-snowden-says-he-would-r...