The son of a French father and a Polish mother, he came out in 1992 Frejus to the world. Since 2010 he is the pro squad of the French first division club AS Monaco. These were, first class in the rise of Kurzawa, yet. Kurzawa started to play football in the youth of the ES Fréjus, before he came into the young of AS Monaco on the youth of Stade Raphaëlois. On September 25, 2010 Kurzawa made his debut in professional football, as he stood in the 1-2 defeat of Monegasque, at FC Lorient, in the starting eleven to sixty minutes later for use. Until the descent, he played four more games. On December 14, 2013 Kurzawa scored his first professional goal in a 2-0 victory over Guingamp On 9 September 2010 he made his debut for the French U-19 national team, in the 1-2 defeat against Japan when he was in 85 minutes came in to replace Jérémy Helan.