19 of the Russian's twenty-one championships have been won on hard surfaces
A revitalized Medvedev claimed his initial championship for 882 days with a win over opponent Moutet in the competition title decider.
Medvedev, a ex- number one, has experienced a challenging year, achieving just one win at the major tournaments and experiencing a setback at the New York tournament.
His inconsistency on the ATP Tour - and issues with his serving in especial - caused him dropping out of the elite rankings and ultimately separating with long-time coach Cervara.
Now training with Thomas Johansson and Goetzke, he has gradually improved in the recent weeks - culminating in a tightly fought competitive triumph over challenger Moutet.
It is his maiden championship following the Italian tournament and initial on a hard surface from spring of that year.
Success also means Medvedev has secured twenty-one championships at 21 different tournaments.
"This marks the first occasion I am participating in a event with my children together, so to win a championship is particularly special," stated world number 14 Medvedev.
"This victory is in dedication of my younger daughter Victoria, because the maiden victory I got when my older daughter her name was delivered was for her."
Medvedev, the 2021 US Open champion, had been defeated in his previous six finals, including in that event previously this season.
The player's retrieving strategy and frequent outbursts on the playing surface had led observers to doubt if his skill to play at the elite level was finished.
Yet the player has made changes in the past month, striving to approach the net and perform positively, backed up by an better serving game.
He recovered from a break down in the initial set against the challenging Frenchman, taking 4 of the last five games to gain the advantage.
Both players exchanged breaks in the following set before Moutet, striving for his maiden ATP Tour championship, gained dominance to create a decider.
The opponent defended 4 early break points in a close deciding set before the champion broke to fifteen to serve for the match.
Fittingly, he secured the win with a point at the net area, with his opponent failing to control a volley after a lengthy match.