Mikautadze enjoyed an excellent campaign with the major tournament debutants, who reached the last 16 but were beaten 4-1 by Spain on Sunday.
He scored three goals in the group stage, two of them from the penalty spot, and remains joint-top of the competition’s goalscoring charts, alongside Germany’s Jamal Musiala and Slovakia’s Ivan Schranz.
The 23-year-old’s strikes came from a total of 2.26 expected goals (xG) – currently the second-highest figure at the tournament behind Kai Havertz’s 3.7.
His conversion rate of 50% (six shots taken), meanwhile, is the fourth-best of all players to have scored multiple goals at the competition, behind Niclas Fullkrug and Jude Bellingham (66.7%) and Schranz (60%).
Mikautadze played for Metz’s youth teams before re-joining on loan from Ajax in January, in a deal containing a €10million purchase clause.
He scored 13 goals in 20 Ligue 1 appearances but was unable to prevent Metz from being relegated, losing a play-off to Saint-Etienne as the teams swapped places.
While Metz have taken up their option to make Mikautadze their player, his stay may not be a long one.
Reports suggest he could yet be sold on for a profit, with the likes of West Ham, Newcastle, Borussia Dortmund, Napoli and Monaco credited with an interest.
It is believed a fee of around €20m (£16m) could be enough to prise him away from the Stade Saint-Symphorien.