Nineteen of the Russian's twenty-one championships have been achieved on hardcourt
A revitalized Medvedev claimed his first trophy for 882 days with a win over opponent Moutet in the tournament championship match.
The Russian, a former world number one, has experienced a challenging season, achieving just a single victory at the major tournaments and undergoing a meltdown at the American major.
His unpredictability on the ATP Tour - and difficulties with his service game in specific - caused him falling of the world's top 10 and eventually separating with long-term trainer Cervara.
Presently working with Johansson and Goetzke, the tennis star has steadily progressed in the recent weeks - peaking in a tightly fought three-set victory over challenger Moutet.
This represents Medvedev's initial championship following the Rome competition and first on a hard surface from that period of that year.
The win also means the Russian has achieved 21 titles at twenty-one different competitions.
"For the first time I am participating in a competition with my both daughters at once, so to secure a title is especially meaningful," said world number 14 Medvedev.
"This championship is in honour of my younger daughter Victoria, because the initial championship I won when my child her name was born was for her."
The tennis star, the past champion, had failed in his previous six championship matches, featuring in Halle earlier this year.
Medvedev's defensive strategy and regular reactions on the tennis court had caused commentators 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 advance forward and perform aggressively, supported by an improved serving game.
He came back from a disadvantage in the opening set against the challenging Moutet, securing 4 of the concluding five exchanges to gain the advantage.
The pair traded breaks in the middle set before Moutet, bidding for his initial ATP Tour victory, gained dominance to push for a final set.
The opponent defended four initial chances in a competitive third set before the Russian broke to 15 to secure the win.
Appropriately, he clinched the win with a rally at the net, with the Frenchman unable to handle a return after over two and a half hours.