Following his rise to prominence at the 2015 UEFA European Under-21 Championship, where he won the Golden Boot, he departed for VfB Stuttgart prior to the 2015–16 season, signing a deal through 2019.

[4] In June 2022, Kliment left Wisła Kraków following their relegation from the Ekstraklasa and returned to the Czech Republic again, joining Viktoria Plzeň.

[7] On 23 August, Kliment scored the match winner against Qarabağ in the play-off round of the UEFA Champions League to secure Viktoria Plzeň's passage to the group phase for the fourth time in club history.

[9] Kliment made his debut for Sigma Olomouc on 20 July and scored both goals in a 2–0 league victory over České Budějovice.

[11] On 20 June 2015, Kliment scored a hat-trick for the Czech under-21 team in a 4–0 win over Serbia in the group stage of the 2015 UEFA European Under-21 Championship at Letná Stadium in Prague.