Peersman began his professional football club career in 2009 at Beveren as a 17-year-old before signing for Royal Antwerp in 2010 and in 2012 Peersman signed for FC Dordrecht.[1] After that, he played for Cambuur and Hapoel Tel Aviv in Israel.[2]
He signed a contract with PAS Giannina on 7 August 2020.[3] On 30 January 2022, he scored his first goal with the club in all competitions in a 2–0 home win game against Apollon Smyrnis.
He was voted man of the match for his performance.[4]