"We welcome the release, today, of our compatriot abducted yesterday in Mexico, as well as the Mexican citizen whom he was with. We warmly thank the Mexican authorities whose help has been essential in this outcome", the ministry said in a Monday statement.
Earlier on Monday, local media in Mexico reported that both Frederic Michel and Mexican actor Alejandro Sandi were already home and were in good health.
Michel and Sandi were kidnapped on Sunday when they were in the Nevado de Toluca national park. The abductors reportedly demanded a ransom.
A joint investigation has been launched into the kidnapping by the French and Mexican authorities.