Interior minister Manuel Valls had earlier Thursday said France had not yet received a request for asylum from Snowden, but that he was personally opposed to granting it.
"This request, if it is made, poses a number of legal problems. As far as I'm concerned, I'm not in favour," Valls told BFMTV, saying: "The United States is a democratic country, with an independent judicial system."
Snowden has been holed up in a Moscow airport transit area since June 23, seeking to avoid US espionage charges for revealing a vast surveillance programme to collect phone and Internet data.
He has requested asylum in 21 countries.