Goglichidze started his career with Georgian side
Torpedo. On 7 July 2021, he made a first league appearance for the club against
Saburtalo. The next year, even though he did not feature in the final, Goglichidze was a member of the squad that won the
national cup. In 2024, he signed for Italian
Serie A side
Empoli. Goglichidze made a debut for his new club in a 1–1 draw against
Bologna on 31 August. After taking part in first four matches in full, the player received a first recognition as he was selected by
Sofascore in U21 Team of the Month among the top five European leagues. On 5 August 2025, Goglichidze signed a five-year contract with
Udinese. On 2 February 2026, he signed for
Watford on loan until the end of the season. ==International career==