The 21-year-old has recently been linked with the Gunners and Liverpool.
Riviere told Sky Sports: “I am flattered to be linked with the clubs mentioned. I am a young player, so to be linked with Arsenal is fantastic for me.
“If Arsene Wenger is interested in you it means you have potential to be a very good player.
“People compare me to Thierry Henry, and that is a big compliment. If I can achieve half of his career I will be happy.”
Riviere’s current contract at St Etienne is set to expire in the summer of 2014.