Lavrov claimed that the Russian government found out about Snowden's flight from Hong Kong only from news reports.
"We have no relation to Mr. Snowden, his relations with American justice or his travels around the world," Lavrov said. "He chooses his route himself, and we have learned about it from the media."
Snowden booked a seat on a Havana-bound flight from Moscow on Monday en route to Venezuela and then possible asylum in Ecuador, but he didn't board the plane. Russian news media have reported that he has remained in a transit zone of Moscow's Sheremetyevo airport, but journalists there haven't seen him.
A representative of WikiLeaks has been traveling with Snowden, and the organization is believed to be assisting him in arranging asylum. The organization's founder, Julian Assange, said Monday that Snowden was only passing through Russia and had applied for asylum in Ecuador, Iceland and possibly other countries.
A high-ranking Ecuadorean official told The Associated Press that Russia and Ecuador were discussing where Snowden could go, saying the process could take days. He also said Ecuador's ambassador to Moscow had not seen or spoken to Snowden. The official spoke on condition of anonymity because he was not authorized to discuss the case publicly.
Ecuador's foreign minister, Ricardo Patino, hailed Snowden on Monday as "a man attempting to bring light and transparency to facts that affect everyone's fundamental liberties."
He described the decision on whether to grant Snowden asylum as a choice between "betraying the citizens of the world or betraying certain powerful elites in a specific country."
State Department spokesman Patrick Ventrell said the U.S. had made demands to "a series of governments," including Ecuador, that Snowden be barred from any international travel other than to be returned to the U.S. The U.S. has revoked Snowden's passport.