Jauzion is a key player behind Toulouse's and France's recent achievements. He is a member of the Toulouse team that reached the Heineken Cup final in 2003, 2004 and 2005. He was named as the man of the match in the 2005 Heineken Cup Final as Toulouse defeated Stade Français. He earned his first national cap on 16 June 2001 against South Africa. He played in France's Grand Slam winning teams of 2002 and 2004, but was ruled out of the 2006 Six Nations Championship through injury as France emerge as champions. He played all the matches during the 2007 Six Nations Championship that France won. He also scored the winning try in the 2007 World Cup quarterfinal against New Zealand that France won 20–18. In the 2009–2010 season, he played a central role as Toulouse won the Heineken Cup, with Jauzion collecting his third winners medal.
With a large physical presence combined with speed and flair, Jauzion is a superb line breaker and has the ability to break tackles and is a good crash ball player, making him arguably one of the best centres in the world for a period. He retired on the 26th June 2013.