Kvaratskhelia started his senior career playing for Dinamo Tbilisi at age 16, before departing to Rustavi where he spent half a season.

During his combined three-year tenure at Lokomotiv Moscow and Rubin Kazan, Kvaratskhelia won two consecutive Russian Premier League Best Young Player awards.

[5] After two-and-a-half years at Napoli, he joined French side Paris Saint-Germain for €70 million in January 2025, signing a contract until June 2029.

He then became an integral part of the senior team after making his debut in 2019, and helped Georgia qualify for UEFA Euro 2024, the country's first ever major international tournament.

In total, Kvaratskhelia made five appearances in all competitions for Dinamo Tbilisi, scoring his first goal in a 1–0 win away to Shukura Kobuleti on 19 November 2017.

[2] In March 2018, Kvaratskhelia left Dinamo Tbilisi as a result of a contract dispute and subsequently signed for Rustavi on a free transfer.

[19] Based on the votes among Rubin supporters, Kvaratskhelia won Player of the Month nomination four times in 2020–21, namely in August, September, October and April.

[25] On 1 July 2022, Serie A side Napoli confirmed the signing of Kvaratskhelia on a deal lasting until 2027 from Dinamo Batumi for a reported fee of €10–12 million.

[47][48] On 25 January 2025, Kvaratskhelia made his debut for PSG in a 1–1 draw against Reims, providing an assist to Ousmane Dembélé for the game's opening goal.

[52] On 8 November 2017, at the age of 16, Kvaratskhelia made his debut for Georgia's under-19's, coming on as a late substitute against Bosnia and Herzegovina in 2018 UEFA European Under-19 Championship qualification.

[53] Ten months later, on 5 September 2018, Kvaratskhelia scored his first goal for the under-19's, against the same opposition, in the first game of a double header against Bosnia and Herzegovina in Lučani, Serbia.

[54] Due to his performances for Georgia's under-17 team, Kvaratskhelia became the first winner of the newly introduced Aleksandre Chivadze golden medal in 2017, awarded annually by Georgian Football Federation to talented young players.

[62] Kvaratskhelia scored three times in four games of the first phase of the 2022–23 Nations League, and topped the list of players in two nominations, including in the overall ranking.

[65] In March 2024, the national team successfully concluded their qualifying campaign for European championship with Kvaratskhelia widely recognized as a vital contributor to this achievement.

[70] A physically powerful and technically gifted player,[71] Kvaratskhelia is a tall inverted left winger with a slender build, who is capable of playing anywhere across the front line.

He then became an integral part of the senior team after making his debut in 2019, and helped Georgia qualify for UEFA Euro 2024, the country's first ever major international tournament.

[72][78][79][88] Kvaratskhelia has been nicknamed "Kvaradona," after the Napoli legend Diego Maradona, as well as the "Georgian Messi," due to their similar playing styles and penchant for dribbling.

[95][96][better source needed] In August 2022, Kvaratskhelia revealed in an interview that he had been dating Nitsa Tavadze, a Georgian medical university student, for one year.