Ukraine Plishka began his career at the youth level with the Ternopil Youth and Sports School. After his brief stint at the professional level, he played with Agro-Zbruch Pidvolochysk in the
Ternopil regional league. Following a stint at the regional level, he returned to the professional circuit with his former team, Nyva Ternopil, in 2011. Nyva re-signed Plishka for the following season. He also made his debut in the
Ukrainian Cup against
Real Pharma Yuzhne. In his third season with Nyva, the club secured a promotion to the second division by finishing as runners-up. After helping Ternopil secure a promotion, he left the club in the summer of 2013. Plishka remained in the country's third-tier league for the 2013-14 season by signing with
Dynamo Khmelnytskyi. After a season with Dynamo, he played with
Enerhiya Nova Kakhovka.
Canada In the summer of 2015, he signed with the expansion side
Toronto Atomic in the
Canadian Soccer League. Plishka debuted for Toronto on May 10, 2015, against
Niagara United. He helped Toronto secure a playoff berth by finishing fifth in the league's first division. The club was eliminated from the postseason in the opening round by
SC Waterloo Region. Toronto re-signed him for the 2016 season. Plishka helped Toronto secure another playoff spot, but they were eliminated from the competition by the
Serbian White Eagles. Plishka returned to the Canadian circuit in 2019 to play with
FC Vorkuta's reserve team in the league's second division. He helped the club secure the divisional title. In the playoffs, Vorkuta defeated the Serbian White Eagles' reserve team for the championship. In 2021, he played in the
Ontario Soccer League with
FC Ukraine United. == Honors ==