Muzychuk spent the summer of 2016 abroad in the Canadian Soccer League with Ukraine United.[5][6] In his debut season in the Canadian circuit, he helped the club secure a playoff berth by finishing second in the league's first division.[7] He contributed a goal against the Brantford Galaxy in the opening round of the playoffs that advanced the Ukrainians to the next round.[8][9] Their playoff campaign would conclude in the next round after a defeat by the Serbian White Eagles.[10]
Following his Canadian stint, he returned to his former club Podillya Khmelnytskyi in the Ukrainian Second League.[11][6] In his debut season in the Ukrainian third division, he played in 12 matches and recorded 3 goals.[12] After the season's conclusion, his contract was extended for another three years.[13] In his second year with Podillya, he was loaned to Kolos Kovalivka in the Ukrainian First League.[14] Muzychuk returned to Podillya the following season after making a total of 4 appearances for Kolos.[15]
After three years with Podillya in the professional ranks, he left the club to secure a deal with Polissya Zhytomyr.[16][17][18] In 2020, he returned to the amateur level to play with Nyva Terebovlia.[19]
^"Хавбек змінив Торонто на Хмельницький" [The midfielder changed Toronto to Khmelnytskyi]. ua-football.com (in Ukrainian). 29 January 2017. Archived from the original on 1 February 2017. Retrieved 14 July 2024.