Givet has represented France at international level. He made his debut as a half-time substitute for Monaco clubmate and fellow debutant Sébastien Squillaci on 18 August 2004 in a 1–1 friendly draw with Bosnia-Herzegovina. In 2006, he was a member of the French squad that reached the Final of the FIFA World Cup held in Germany, though he did not play. He has earned 12 caps for his country, last appearing on 16 August 2006.