"The freedom trail is not exactly China, Russia, Cuba, Venezuela. So I hope we'll chase him to the ends of the earth, bring him to justice and let the Russians know there will be consequences if they harbor this guy."

Hong Kong authorities notified the U.S. that Snowden had departed the city on a flight to Moscow, and may be en route to a third country, according to reports. Snowden was allowed to leave Hong Kong despite a U.S. extradition request.

The website Wikileaks said it had provided Snowden with legal advisers to help him secure asylum in a third country.

Sen. Mike LeeMike LeeRepublicans go to battle over pre-existing conditions Senate gears up for fight on Trump's 0B Saudi Arabia arms sale Senate feels pressure for summer healthcare vote MORE (R-Utah) called Snowden "delusional" for reportedly heading to Russia and Cuba because of those countries' human rights records relative to the U.S.

"I think he's in for a rude awakening if that's what he has in mind," Lee said. "It tells me that if he's looking for a place with a better human rights record than the U.S., he's certainly not going to find it in any of these countries."