19 of Medvedev's twenty-one championships have been achieved on hard courts
A resurgent the Russian player secured his initial championship for nearly 30 months with victory over opponent Moutet in the tournament championship match.
The athlete, a former number one, has endured a torrid season, managing just one win at the Grand Slams and undergoing a meltdown at the American major.
Medvedev's varied form on the professional circuit - and struggles with his serve in especial - resulted in him falling of the elite rankings and finally splitting with former trainer his previous coach.
Currently working with his coach and Rohan Goetzke, he has gradually improved in the last few weeks - culminating in a hard-fought 7-5 4-6 6-3 win over opponent Moutet.
This marks the player's initial trophy since the Rome competition and maiden on a hard surface from that period of the previous year.
The win also signifies Medvedev has won twenty-one championships at twenty-one various tournaments.
"For the first time I have attended a tournament with my both daughters simultaneously, so to win a trophy is really nice," said ranked player Medvedev.
"This victory is in tribute of my child her name, because the first title I won when my older daughter her name was delivered was for her."
Medvedev, the 2021 US Open champion, had lost his past six title deciders, comprising in the German tournament previously this season.
The player's defensive approach and regular emotional displays on the playing surface had led observers to question if his skill to perform at the highest level was finished.
However the 29-year-old has made changes in the last few weeks, making an effort to advance forward and compete aggressively, supported by an improved service.
He fought back from a break down in the first set against the challenging Frenchman, winning 4 of the last five games to gain the advantage.
Both players exchanged service breaks in the second set before the Frenchman, attempting for his maiden ATP Tour victory, gained dominance to force a final set.
He saved four initial opportunities in a close third set before Medvedev won the break to that score to close out the victory.
Appropriately, Medvedev earned the title with a point at the net area, with Moutet incapable to handle a return after two hours and 38 minutes.