Özgen began his career with TSV Donnerberg and SV Breinig. In 2006, he joined Alemannia Aachen where he signed his first professional contract. In summer 2010, he joined Kayserispor and moved to Bucaspor in January 2011.
On 28 December 2015 it was confirmed, that Özgen had signed for Adana Demirspor.
Özgen's family immigrated to Germany from Turkey, but his birthplace is the North Rhine-Westphalia city of Stolberg.