Persidis began his
club career, while still being a student, in 2011, with the Greek club
AGE Chalkida. In 2013,
Ikaros Chalkidas's head coach
Georgios Kalafatakis, picked him to join the team that year. In that season, the club played in
Chalkida, instead of its regular home of
Kallithea. Persidis then spent a season with the Greek club
Psychiko Athens. After that, he played with the Greek clubs
Pagrati Athens and
Ionikos Nikaias. With Ionikos Nikaias, he started to receive major playing time. For the
2017–18 season, Persidis moved to
Ethnikos Piraeus, which he helped to lead to the
Greek 2nd division's playoffs. During that season, he appeared in 32 games, and he averaged 5.6 points and 4.3 rebounds, in 18 minutes played per game. In the
following season, Persidis played with the Greek 2nd division club
Diagoras Dryopideon. With Diagoras, he appeared in 29 games, and averaged 6.2 points and 4 rebounds, in 16.5 minutes played per game. Persidis' performances with Diagoras were noticed by the coaching and scouting staff of the Greek
EuroLeague club
Panathinaikos Athens. Eventually, Persidis joined the "Greens" team in the summer of 2019. He was primarily signed by the team to be used as an ancillary
practice squad player, along with
Kostas Papadakis, who would also have a similar role on the team. On December 26, 2020, Persidis moved to
Lavrio for the rest of the season. In 15 games, he averaged 2 points and 1.3 rebounds in under 10 minutes per contest. In 23 league games during the 2021-22 campaign, Persidis averaged an improved 4.5 points and 2.2 rebounds, playing around 15 minutes per contest. On July 13, 2022, Persidis signed a one-year contract with
AEK Athens. On December 15, 2022, Persidis' contract was terminated by mutual consent. Two days later, he signed with
Peristeri Athens for the rest of the season. In 17 domestic Greek league games, he averaged 1.5 points and 1 rebound, while playing around 8 minutes per contest. On July 4, 2023, Persidis signed a two-year deal with
Aris Thessaloniki. On July 11, 2024, he was released from Aris. On 2024, he joined
PAOK. He renewed his contract for one more year on July 4, 2025. ==National team career==