Nineteen of the Russian's 21 championships have been achieved on hard surfaces
A resurgent Medvedev secured his maiden trophy for 882 days with a win over opponent Moutet in the tournament final.
The athlete, a former world number one, has experienced a difficult year, achieving just one win at the major tournaments and experiencing a setback at the American major.
His unpredictability on the ATP Tour - and difficulties with his service game in particular - led to him dropping out of the elite rankings and finally splitting with former mentor his previous coach.
Currently working with Johansson and Goetzke, Medvedev has consistently advanced in the last few weeks - climaxing in a tightly fought competitive victory over Frenchman Corentin Moutet.
This marks the player's maiden trophy after the 2023 Rome Masters and first on a hard court after that period of 2023.
Victory also indicates the Russian has secured twenty-one championships at 21 distinct competitions.
"This marks the first occasion I am participating in a tournament with my two daughters together, so to get a title is especially meaningful," said ranked player the champion.
"This victory is in dedication of my younger daughter Victoria, because the first title I achieved when my older daughter my daughter was born was for her."
The athlete, the former major winner, had been defeated in his last six championship matches, comprising in the German tournament in the past months.
His defensive play style and frequent reactions on court had caused some to doubt if his skill to play at the highest level was finished.
Yet the athlete has made changes in recent weeks, striving to advance forward and compete aggressively, supported by an improved serving game.
Medvedev came back from a disadvantage in the initial set against the tricky Frenchman, winning four of the last five exchanges to go ahead.
Both players exchanged breaks in the middle set before the Frenchman, bidding for his initial ATP Tour victory, seized the initiative to force a third set.
He saved four initial opportunities in a competitive third set before the champion broke to 15 to serve for the match.
Suitably, the winner clinched victory with a point at the front of the court, with the Frenchman incapable to manage a shot after a lengthy match.