After making two appearances for the club in the first half of the 2012–13 season, it was announced that Wolf was appointed new captain of Monaco, under the new manager Claudio Ranieri. His first game as captain came in the opening game of the season, where he started and played the whole match, in a 4–0 win over Tours. He scored his first goal for the club on 30 September 2012, in a 2–2 draw against Gazélec Ajaccio and his second goal for the club came on 10 November 2012, in a 2–2 draw against Auxerre. Despite being appointed captain, Wolf's first team playing time soon became limited due to new signings as well as his own injuries. While on the sidelines, he said he was treated as a "poor man" at the club. In his second season he made 32 appearances and scoring twice in all competitions.