[2] Kunchev made his debut in professional football as a 17-year-old for Lokomotiv Plovdiv.

He signed with Levski Sofia in 2014, but was released after making only a few appearances for the team following a goalkeeping mistake made in a match against Beroe.

Kunchev played for Lokomotiv Gorna Oryahovitsa one season but left the club in June 2017.

[4] In January, 2010, the Bulgarian national under-21 coach Mihail Madanski called Kunchev in the Bulgaria national under-21 football team for the friendly tournament Albena Cup.

This biographical article related to association football in Bulgaria, about a goalkeeper, is a stub.