[2] Bunchukov joined the academy of Ukrainian side Dynamo Kyiv at the age of ten, and spent five years with the club.
[3] After falling out of favour with Dynamo's youth coaches, he left the club and moved on to Arsenal Shchaslyve and Atlet Kyiv, spending short spells with each before moving to England in 2020 to enrol at the Brooke House College, playing for their representative football team.
[3][4] Having failed to secure a professional contract in England, he unsuccessfully trialled at Belgian sides Eupen, URSL Visé and Union in summer 2021, before another unsuccessful trial at Standard Liège later the same year.
[5] He made his debut with Seraing in a 4–0 home loss to Genk on 27 August 2022, playing 69 minutes before being replaced by Valentin Guillaume.
[5] Bunchukov was called up to the Ukraine under-21 squad for friendlies against Israel and Georgia in November 2022, going on to make his debut against the latter.