On 2 May 2010, at the age of 15 years and 4 months, he made his debut as a second-half substitute against Germanea Sapareva Banya in a game of the South-West V AFG, the third level of Bulgarian football.

[6] Chunchukov scored his first goal for Botev Plovdiv on 17 July 2014 during a 2–1 win against St. Pölten in the next round of Europa League.

[10] Chunchukov scored his third goal in A Grupa on 19 October but Lokomotiv Sofia defeated Botev Plovdiv 3–1.

[13] In the next round Chunchukov played during the 2–0 win over the local rivals Lokomotiv Plovdiv, missed the game with CSKA Sofia due to a ban, and on 22 March he was again in the starting lineup for 0–0 draw with Ludogorets Razgrad.

[16] At the end of the season, Chunchukov was announced as the A Group Youth Player of the Year for his contributions to the club.

[21] On 23 June 2015, Chunchukov was transferred from Botev Plovdiv to Ludogorets Razgrad for an undisclosed fee, considered to be in the range of 175 000 EUR, as reported by several Bulgarian media outlets.

[22][23] On 1 July Chunchukov scored the only goal for his new team in a 1–0 friendly win against Romanian club Universitatea Craiova.

[24] Unfortunately, on 4 October 2016, Chunchukov broke his left leg foot during a training session of the Bulgaria U21 team and as a result, he was ruled out from the squad for several months.

[34][35] He made his debut for the senior national team on 7 June 2019 in a Euro 2020 qualifier against the Czech Republic, as an 82nd-minute substitute for Todor Nedelev.