Dambier started skating when he was about six or seven years old when a neighbor took him to the small ice rink of Joué les Tours.

[1] He became the first French skater to perform the quad salchow in competition when he landed it at the 1999 Ondrej Nepela Memorial.

[2] Dambier was coached by Annick Gailhaguet, Pierre Trente, Diana Skotnicka and Li Ping, and his choreographers included Olga Leonovich, Shanti Rushpaul and Alexander Zhulin from 2003 to 2006.

From 2008 to 2010, Dambier was Sport Director of Cité Internationale Universitaire de Paris.

He is a figure skating consultant for the French channel Ma Chaîne Sport and worked as a choreograph for Charles Tetar from 2008 to 2010.