[2] On 19 July 2019, after Girona's offer was rejected by Saburtalo,[3] Kochorashvili signed a three-year contract with Levante UD, being immediately assigned to the reserves also in the third division.
[4] He made his first team – and La Liga – debut on 12 July of the following year, coming on as a late substitute for Rubén Rochina in a 2–1 home loss against Athletic Bilbao.
[7] Kochorashvili took part in both UEFA Euro 2024 play-off matches, converting from the spot in a penalty shoot-out against Greece on 26 March 2024.
In the nation's first match against Turkey, Kochorashvili assisted Georges Mikautadze in the 32nd minute with a cross into the box - Georgia's first goal in an international tournament.
[9] As Georgia kicked off their 2024–25 UEFA Nations League campaign in September 2024, Kochorashvili scored in first two matches, including a winner against Albania.