Nineteen of the Russian's twenty-one victories have been achieved on hard surfaces
A revitalized the Russian player won his initial title for over two years with success over opponent Moutet in the competition championship match.
Medvedev, a ex- world number one, has experienced a difficult period, achieving just one match at the major tournaments and suffering a meltdown at the US Open.
Medvedev's varied form on the professional circuit - and issues with his serving in specific - caused him falling of the elite rankings and finally separating with former coach his previous coach.
Presently working with Thomas Johansson and Rohan Goetzke, Medvedev has gradually improved in the last few weeks - peaking in a tightly fought 7-5 4-6 6-3 victory over opponent Moutet.
This marks the player's first title since the Rome competition and maiden on a hard court after that period of the previous year.
The win also means he has achieved 21 titles at twenty-one different tournaments.
"It's the first time I am participating in a competition with my children simultaneously, so to get a trophy is particularly special," stated ranked player Medvedev.
"This title is in tribute of my younger daughter my daughter, because the initial championship I got when my child her name was born was for her."
Medvedev, the 2021 US Open champion, had lost his past six title deciders, featuring in the German tournament earlier this year.
His retrieving play style and recurring reactions on the tennis court had led some to question if his capacity to play at the highest level was finished.
But the 29-year-old has implemented adjustments in the last few weeks, making an effort to approach the net and compete aggressively, backed up by an enhanced serve.
He fought back from a disadvantage in the initial set against the challenging Moutet, winning 4 of the last five exchanges to go ahead.
The pair traded breaks in the second set before the Frenchman, striving for his first tour title, took control to force a decider.
The opponent saved 4 early chances in a tight third set before the Russian won the break to fifteen to serve for the match.
Appropriately, he clinched the win with a point at the net, with his opponent incapable to manage a return after two hours and 38 minutes.