19 of the Russian's 21 titles have been achieved on hard courts
A comeback the Russian player won his initial trophy for nearly 30 months with success over Frenchman Moutet in the competition title decider.
Medvedev, a former world number one, has endured a challenging period, winning just one win at the big events and undergoing a difficult moment at the New York tournament.
Medvedev's varied form on the professional circuit - and issues with his service game in particular - caused him dropping out of the world's top 10 and finally parting ways with long-term trainer his previous coach.
Currently training with Thomas Johansson and his other coach, the tennis star has consistently improved in the recent weeks - peaking in a closely contested three-set victory over challenger Moutet.
This marks Medvedev's initial title after the 2023 Rome Masters and first on a hard surface after spring of the previous year.
Success also signifies Medvedev has secured 21 titles at twenty-one different competitions.
"This marks the first occasion I am participating in a event with my both daughters simultaneously, so to win a title is really nice," said tennis professional the champion.
"This title is in dedication of my younger daughter Victoria, because the first title I got when my child my daughter was born was for her."
The tennis star, the 2021 US Open champion, had failed in his last six title deciders, comprising in the German tournament in the past months.
His defensive play style and recurring emotional displays on the playing surface had led some to question if his ability to play at the top level was concluded.
Yet the athlete has implemented adjustments in the past month, making an effort to advance forward and play assertively, supported by an better serving game.
The champion came back from a disadvantage in the opening set against the tricky opponent, securing four of the last five points to go ahead.
Both players exchanged service breaks in the middle set before Moutet, attempting for his maiden professional championship, seized the initiative to create a final set.
The opponent saved 4 initial break points in a competitive deciding set before the Russian secured a break to 15 to secure the win.
Suitably, Medvedev secured the win with a rally at the net area, with Moutet failing to handle a return after a lengthy match.