Nineteen of Medvedev's twenty-one victories have been earned on hard courts
A resurgent the Russian player secured his initial title for nearly 30 months with a win over opponent Moutet in the Almaty Open title decider.
Medvedev, a ex- top-ranked player, has experienced a difficult period, winning just one win at the major tournaments and undergoing a meltdown at the New York tournament.
His inconsistency on the professional circuit - and struggles with his serve in especial - resulted in him exiting of the world's top 10 and finally splitting with long-time trainer Gilles Cervara.
Presently training with his coach and Goetzke, the tennis star has consistently advanced in the recent weeks - peaking in a tightly fought 7-5 4-6 6-3 win over opponent Moutet.
This represents Medvedev's maiden trophy following the 2023 Rome Masters and maiden on a hard court from that period of that year.
Victory also indicates the Russian has won 21 championships at 21 different competitions.
"For the first time I'm at a competition with my children simultaneously, so to win a trophy is particularly special," stated tennis professional Daniil Medvedev.
"This victory is in dedication of my child Victoria, because the initial championship I achieved when my older daughter Alisa was delivered was for her."
Medvedev, the past champion, had lost his last six finals, comprising in the German tournament in the past months.
His defensive play style and recurring emotional displays on court had caused observers to doubt if his ability to play at the highest level was over.
However the 29-year-old has implemented adjustments in recent weeks, attempting to come to the net and compete positively, backed up by an improved serve.
Medvedev came back from a break down in the initial set against the difficult opponent, winning four of the final five points to gain the advantage.
Both players exchanged service breaks in the following set before the Frenchman, bidding for his maiden professional championship, took control to force a third set.
He saved 4 early-game opportunities in a tight final set before the Russian broke to fifteen to close out the victory.
Appropriately, he earned the title with a shot at the front of the court, with his opponent incapable to manage a return after a lengthy match.