As a youth player, Paalberg joined the
youth academy of Estonian side
Vaprus and was promoted to the club's senior team in 2024. On 19 May 2024, he debuted for them during a 0–2 home loss to
Levadia in the
league. On 2 February 2026, Paalberg signed with
Saint-Étienne in French
Ligue 2. ==International career==