Nineteen of the Russian's twenty-one championships have been earned on hard surfaces
A comeback Medvedev claimed his maiden title for 882 days with a win over Frenchman Moutet in the competition title decider.
The Russian, a former top-ranked player, has experienced a challenging season, winning just a single victory at the Grand Slams and experiencing a difficult moment at the American major.
His unpredictability on the ATP Tour - and struggles with his service game in especial - resulted in him dropping out of the world's top 10 and eventually splitting with long-time coach Gilles Cervara.
Currently working with Johansson and Goetzke, Medvedev has steadily progressed in the last few weeks - climaxing in a tightly fought 7-5 4-6 6-3 victory over Frenchman Moutet.
It is Medvedev's maiden title since the 2023 Rome Masters and maiden on a hardcourt since March of that year.
Success also means he has won 21 victories at twenty-one various events.
"It's the first time I have attended a event with my both daughters at once, so to secure a title is really nice," commented ranked player the champion.
"This victory is in dedication of my younger daughter her name, because the initial championship I achieved when my child my daughter was born was for her."
Medvedev, the past champion, had failed in his last six title deciders, comprising in that event in the past months.
Medvedev's defensive play style and recurring emotional displays on the tennis court had caused commentators to question if his capacity to play at the highest level was finished.
However the player has made changes in the past month, making an effort to approach the net and compete assertively, supported by an better serving game.
He fought back from a break down in the opening set against the tricky Moutet, winning four of the last five games to go ahead.
The pair exchanged service breaks in the second set before the challenger, striving for his maiden tour victory, seized the initiative to force a decider.
The opponent saved 4 early break points in a tight deciding set before Medvedev secured a break to 15 to secure the win.
Fittingly, the winner earned victory with a rally at the front of the court, with his opponent unable to handle a shot after a lengthy match.