19 of Medvedev's twenty-one titles have been won on hard courts
A resurgent Medvedev won his maiden trophy for 882 days with success over opponent Moutet in the tournament title decider.
The Russian, a former world number one, has endured a torrid period, managing just one match at the major tournaments and experiencing a difficult moment at the American major.
The player's inconsistency on the professional circuit - and difficulties with his serving in particular - led to him falling of the top ten and ultimately parting ways with long-time mentor Gilles Cervara.
Presently working with Johansson and his other coach, he has gradually advanced in the recent weeks - climaxing in a closely contested competitive win over Frenchman Moutet.
This represents his maiden championship since the 2023 Rome Masters and initial on a hard surface since spring of the previous year.
Victory also signifies the Russian has secured twenty-one victories at 21 different competitions.
"It's the first time I have attended a competition with my children at once, so to get a trophy is really nice," stated world number 14 Medvedev.
"This victory is in tribute of my second daughter my daughter, because the initial championship I achieved when my first daughter Alisa was born was for her."
Medvedev, the 2021 US Open champion, had lost his past six title deciders, featuring in Halle earlier this year.
His defensive strategy and regular outbursts on the playing surface had caused observers to wonder if his ability to play at the top level was finished.
However the player has implemented adjustments in the past month, striving to come to the net and compete assertively, supported by an better serve.
He came back from a deficit in the initial set against the tricky Frenchman, securing 4 of the last five points to take the lead.
Both players traded breaks in the middle set before the challenger, bidding for his maiden tour victory, seized the initiative to push for a decider.
The opponent rescued 4 early-game opportunities in a tight deciding set before the champion broke to 15 to serve for the match.
Appropriately, the winner earned the win with a rally at the net area, with the Frenchman unable to handle a volley after two hours and 38 minutes.