19 of Medvedev's twenty-one championships have been earned on hard surfaces
A resurgent the Russian player won his maiden championship for 882 days with success over Frenchman Moutet in the competition final.
Medvedev, a former world number one, has experienced a challenging year, winning just one match at the big events and undergoing a meltdown at the New York tournament.
The player's inconsistency on the professional circuit - and difficulties with his serve in specific - led to him dropping out of the elite rankings and ultimately parting ways with long-term mentor his previous coach.
Currently collaborating with Thomas Johansson and Rohan Goetzke, Medvedev has steadily progressed in the past month - peaking in a hard-fought 7-5 4-6 6-3 win over Frenchman Moutet.
This represents Medvedev's maiden championship after the 2023 Rome Masters and initial on a hard court from spring of that year.
The win also indicates Medvedev has won 21 titles at twenty-one distinct events.
"For the first time I have attended a competition with my two daughters simultaneously, so to win a championship is really nice," said ranked player Medvedev.
"This victory is in honour of my younger daughter her name, because the initial championship I achieved when my older daughter my daughter was delivered was for her."
Medvedev, the past champion, had failed in his past six championship matches, comprising in that event previously this season.
The player's retrieving strategy and recurring outbursts on court had led observers to question if his capacity to compete at the highest level was finished.
However the athlete has implemented adjustments in recent weeks, striving to advance forward and play assertively, supported by an enhanced service.
Medvedev fought back from a disadvantage in the first set against the difficult opponent, taking 4 of the final five exchanges to gain the advantage.
The competitors exchanged breaks in the following set before the challenger, attempting for his first professional championship, seized the initiative to create a decider.
Moutet saved 4 early opportunities in a tight third set before the champion broke to that score to close out the victory.
Appropriately, he earned victory with a rally at the front of the court, with the Frenchman incapable to manage a volley after two hours and 38 minutes.