The 23-year-old Georgia international has been linked with Roma, Crystal Palace, Everton and Monaco, according to transfer journalist Nicolò Schira.
Kvernadze has drawn comparisons with compatriot Khvicha Kvaratskhelia, and his performances have brought him onto the radar of clubs looking for attacking reinforcements.
His current contract with Frosinone runs until June 2028, giving the Italian club a degree of security as interest develops. There is no immediate pressure to sell, particularly with the January transfer window approaching.
The winger’s performances have helped raise his profile, although the figures in the original report require some qualification. Available season statistics show five goals and two assists across eight appearances in Serie A and the Coppa Italia, rather than five goals and five assists in 10 matches.
That output has nevertheless made him an attractive prospect for clubs seeking a player capable of contributing directly in the final third.
Roma’s reported interest would offer Kvernadze the opportunity to remain in Italy and take another step at a higher-profile club. Crystal Palace and Everton, meanwhile, could provide a route into the Premier League, while Monaco are also keeping track of his progress.
Frosinone will be aware that interest from several leagues could increase the value of the Georgian winger. His contract situation means the club are not compelled to accept an offer during the winter window, and any potential suitor may have to wait or make a convincing proposal.
Kvernadze’s development will therefore be worth following as the season progresses. A move to a club competing at a higher level could represent a significant next stage in his career, but Frosinone remain in a strong negotiating position with the player tied down until 2028.
For now, the interest remains at the monitoring stage, with no agreement or formal offer reported.