Verdier started his career at Cannes and made his debut for the club on 20 May 2005, coming on as a second-half substitute for Stéphane Calcé in the 0–1 away defeat at Pau.
[2] In total, Verdier played 15 league matches for Cannes before being released in 2008 and subsequently joining Division d'Honneur club Draguignan.
Verdier spent the 2009–10 season with seventh-tier outfit Cagnes-sur-Mer before joining Arles-Avignon ahead of the 2010–11 campaign.
He made a number of appearances for the reserve team at Arles but could not break into the first-team squad and was consequently released and signed for Championnat National outfit Gazélec Ajaccio in the summer of 2011.
Verdier made his Gazélec debut in the goalless draw with Quevilly on 26 August 2011, playing the first hour before being replaced by Quentin Boesso.