Entering his draft year as one of the top European prospects, Kapanen spent most of the season with KalPa, scoring 7 goals in 47 games for a team that finished last in the league. He was expected to be an impact player for the Finland under-20 team at the 2014 World Junior Championship but was injured in the last practice before the tournament began and was unable to participate. The lost opportunity did not affect Kapanen's draft stock as he finished atop both the mid-season and final Central Scouting rankings amongst European-based skaters. With KalPa and its under-20 affiliate both eliminated from the respective playoffs, Kapanen was sent to the KalPa under-18 team for the end of their season and aided the Jr. B SM-Sarja team in its third-place league finish. Kapanen tied for the team lead in playoff goals with six despite playing in only four games. Kapanen found himself on Finland's under-18 team for a second consecutive year, but managed just two points in five games as Finland was eliminated in the quarter-final round following a heavy 10–0 loss to Sweden.