Unlike most countries, which choose their entries through a process of televised competitions and public votes, France adopts a more sober approach to the whole business.
The choice of Anggun was made behind closed doors by executives at state-owned television channel France 3 and announced in the pages of Le Parisien daily newspaper on Tuesday morning.
"To be honest, we've been thinking about her for a long time," said Marie-Claire Mezerette from France 3. "We even hesitated last year between her and Amaury Vassili," she told the newspaper.
Professional tenor Vassili went on to represent France in the 2011 competition where he came 15th.
37-year old Anggun shot to fame in 1997 with her song "La Neige au Sahara", also released in English as "The Snow in Sahara."
"It's a huge honour," the singer told Le Parisien. "It's a real gift for me. I'm Indonesian by origin but naturalized French since 2000. I represent without doubt the France of today, with its many cultures."
"I live in Paris, I'm married to a French man and my daughter Kirana is French and eats rice as well as cheese."
The song that Anggun will sing has not yet been revealed, but it is hoped that her performance will help to break the 35-year drought since France last won the competition, in 1977, with Marie Myriam's song L'Oiseau et L'Enfant.
Anggun: Snow On The Sahara
France 1977 Eurovision winner: Marie Myriam