19 of Medvedev's twenty-one titles have been achieved on hard courts
A resurgent the Russian player won his first title for 882 days with a win over opponent Moutet in the tournament title decider.
The athlete, a ex- world number one, has experienced a difficult season, managing just one win at the major tournaments and suffering a setback at the New York tournament.
His inconsistency on the ATP Tour - and issues with his serving in particular - led to him falling of the elite rankings and eventually separating with long-time coach Gilles Cervara.
Presently working with his coach and his other coach, the tennis star has consistently advanced in the last few weeks - culminating in a tightly fought three-set win over challenger Moutet.
This represents his maiden championship since the 2023 Rome Masters and first on a hard surface since that period of the previous year.
Success also signifies Medvedev has achieved 21 championships at 21 various tournaments.
"It's the first time I have attended a tournament with my both daughters together, so to get a trophy is really nice," commented ranked player Medvedev.
"This championship is in dedication of my child her name, because the maiden victory I got when my older daughter her name was delivered was for her."
The athlete, the 2021 US Open champion, had failed in his past six finals, featuring in that event in the past months.
His counter-punching play style and recurring outbursts on the playing surface had prompted commentators to question if his ability to perform at the elite level was over.
But the athlete has made changes in recent weeks, attempting to come to the net and compete assertively, supported by an better serve.
Medvedev fought back from a deficit in the initial set against the challenging opponent, securing 4 of the last five points to take the lead.
The competitors swapped break points in the following set before the Frenchman, attempting for his maiden professional victory, seized the initiative to force a final set.
The opponent defended 4 early chances in a tight final set before the champion secured a break to 15 to serve for the match.
Appropriately, Medvedev secured the win with a rally at the net area, with the Frenchman failing to manage a shot after two hours and 38 minutes.