His recordings have earned consecutive International Classical Music Awards (ICMA) —an unprecedented feat— for Young Artist of the Year (2020) and Solo Recording of the Year (2019 and 2025) alongside distinctions such as “Choc de Classica”, Diapason d’Or, Supersonic, Record Geijitsu Selection and Editor’s Choice by Gramophone.

In 2023, he embarked on a recording project encompassing 12 albums with BIS in which Schubert's piano works are combined with works inspired by him, to be completed by 2028. Bryce Morrison (International Piano) praised the series in these terms: “Truly great recordings of Schubert’s piano sonatas are rare… but I know of few to match Can Çakmur’s supple and penetrating confirmation of Schubert’s genius.”

He has since appeared at Wigmore Hall in London, the Berlin Philharmonie, Tokyo’s Suntory Hall, L’Arsenal, and major venues across his native Turkey. He has collaborated with Royal Scottish National Orchestra, NOSPR Katowice, MDR Leipzig as well as most major Japanese orchestras. In 2024, he inaugurated Liszt’s restored piano in Weimar. His performances have aired on BBC, Radio France, Arte, NHK, TRT, and others. As a chamber musician, he collaborates with Veriko Tchumburidze, Dorukhan Doruk, Alexandre Castro-Balbi, and Dominik Wagner. In 2022 he was appointed to a piano professorship at the Trinity Laban Conservatoire for Music and Dance in London.

Can Çakmur studied with Emre Şen, Jun Kanno, Marcella Crudeli, Diane Andersen, and lastly Grigory Gruzman at the University of Music Franz Liszt Weimar, supported by the G & S Pekinel Foundation.