Inspired by the movie The Benny Goodman Story, Stojan Krkuleski began playing the clarinet at the age of ten at the Mokranjac Music School in Belgrade, under the guidance of Professor Aleksandar Nikolic. He soon realized that the music would be his calling and decided to continue his education at the Faculty of Music in Belgrade under Professor Ante Grgin and later at the Music Akademie der Stadt Basel under Professor François Benda.

He polished up his skills at masterclasses with renowned soloists and educators such as Paul Meyer, Mate Bekavac, Gottfried Johannes Pokorny, Jiří Hlaváč, and others.

Krkuleski is an awarded artist. Among his awards and recognitions, Krkuleski received the second prize at the prestigious ARD International Competition in the clarinet category in 2012 in Munich (no first prize had been awarded), as well as first prizes at the Marco Fiorindo Competition in Turin in 2011 and at the Jeunesses Musicales Youth Music Competition in Belgrade in 2012.

As a soloist, Krkuleski has shared the stage with the Basel Chamber Orchestra, Basel Symphony Orchestra, Bavarian Radio Symphony Orchestra, and Lucerne Symphony Orchestra, performing pieces by Weber, Nielsen, Mozart, Penderecki, Siegfried Matthus, and other composers. He has been performing as a soloist and chamber musician worldwide and he has had the honor of collaborating with conductors such as Franz Welser-Möst, Bernard Haitink, Manfred Honeck, Michael Sanderling, James Gaffigan, Lahav Shani, as well as  renowned soloists including Martha Argerich, Daniil Trifonow, Augustin Hadelich, Julia Fischer, Fazıl Say, Truls Mørk, among others.

Since 2014, Stojan Krkuleski has been residing in Lucerne, where he performs as the solo clarinetist of the Lucerne Symphony Orchestra. He is actively involved in teaching as an assistant to Professor François Benda at the Basel Music Academy.