Nineteen of the Russian's 21 championships have been won on hard surfaces
A resurgent the Russian player claimed his initial trophy for over two years with success over opponent Moutet in the tournament title decider.
The athlete, a ex- number one, has had a difficult year, winning just a single victory at the big events and experiencing a difficult moment at the New York tournament.
The player's unpredictability on the professional circuit - and difficulties with his serve in particular - resulted in him falling of the top ten and finally splitting with long-term mentor Cervara.
Currently collaborating with Thomas Johansson and Rohan Goetzke, the tennis star has consistently advanced in the past month - peaking in a hard-fought three-set triumph over opponent Corentin Moutet.
This marks his first title after the 2023 Rome Masters and maiden on a hardcourt after that period of that year.
The win also signifies he has secured 21 titles at 21 various tournaments.
"It's the first time I'm at a event with my two daughters at once, so to get a trophy is particularly special," said tennis professional the champion.
"This victory is in tribute of my younger daughter her name, because the initial championship I achieved when my child Alisa was born was for her."
The athlete, the past champion, had been defeated in his past six finals, comprising in Halle previously this season.
His retrieving approach and recurring reactions on court had prompted observers to question if his skill to compete at the top level was finished.
Yet the player has implemented adjustments in the last few weeks, striving to advance forward and compete aggressively, backed up by an improved serving game.
The champion came back from a break down in the first set against the difficult Frenchman, winning 4 of the concluding five exchanges to gain the advantage.
The competitors swapped break points in the following set before the Frenchman, bidding for his maiden tour championship, gained dominance to push for a final set.
The opponent saved four early-game chances in a tight final set before the champion broke to fifteen to close out the victory.
Fittingly, Medvedev earned the title with a shot at the front of the court, with the Frenchman failing to control a return after two hours and 38 minutes.