Kálmán Záborszky grew up in a family of musicians; his father was the conductor and composer József Záborszky. His musical career began at an early age: he started his cello studies under the guidance of Miklós Zsámboki and later earned his diploma at the Liszt Ferenc Academy of Music. He studied with outstanding teachers such as Frigyes Sándor, András Mihály, and Antal Friss. He subsequently continued his studies at the Academy of Music in Vienna, where he also had the opportunity to learn from the world-renowned cellist André Navarra.

Throughout his career, for several decades, he has been a leading figure in music education. For 25 years he served as director of the Szent István King Secondary School of Music, where he established an outstanding orchestral workshop. Through his pedagogical work, he inspired generations of musicians and set many of them on the path of a professional musical career.

His relationship with the orchestra spans over several decades: already at the age of 14 he actively participated in the life of the then István Orchestra, and since 1988 he has led the ensemble as principal conductor. In 2006, the orchestra became a professional ensemble and now operates under the name Szent István Philharmonic Orchestra. In addition, Kálmán Záborszky is the choirmaster of the Szent István King Oratorio Choir.

With the Szent István Philharmonic Orchestra, he has performed in numerous European countries, including Spain, Switzerland, Sweden, Finland, Germany, and Austria. In 2013, the ensemble gave a highly successful Hungarian evening at the Young Euro Classic Festival in Berlin, and in 2014 at the Reduta (Vigadó) in Bratislava. Concerts conducted by Kálmán Záborszky have been broadcast by the BBC and by Euroradio.

His artistic and educational work has been recognized with numerous prestigious awards: