19 of Medvedev's twenty-one championships have been achieved on hardcourt
A comeback the Russian player claimed his maiden championship for nearly 30 months with success over opponent Moutet in the competition final.
The athlete, a former number one, has endured a challenging year, winning just one match at the Grand Slams and experiencing a meltdown at the US Open.
His varied form on the ATP Tour - and struggles with his serving in specific - caused him dropping out of the top ten and finally splitting with long-time trainer his previous coach.
Presently training with Thomas Johansson and his other coach, Medvedev has steadily advanced in the last few weeks - peaking in a hard-fought three-set triumph over opponent Moutet.
This marks his first title after the Italian tournament and maiden on a hard surface after spring of the previous year.
Success also indicates he has won twenty-one championships at twenty-one distinct events.
"For the first time I have attended a competition with my both daughters at once, so to win a title is particularly special," said world number 14 Medvedev.
"This championship is in tribute of my second daughter my daughter, because the initial championship I won when my first daughter my daughter was born was for her."
The tennis star, the 2021 US Open champion, had lost his past six title deciders, featuring in the German tournament in the past months.
His defensive strategy and recurring outbursts on the playing surface had caused observers to doubt if his skill to play at the elite level was finished.
But the 29-year-old has altered his approach in recent weeks, making an effort to advance forward and compete positively, backed up by an enhanced serving game.
The champion recovered from a break down in the opening set against the challenging Frenchman, winning 4 of the concluding five points to go ahead.
Both players exchanged service breaks in the second set before the challenger, striving for his initial ATP Tour championship, gained dominance to create a decider.
The opponent rescued 4 early chances in a close final set before the champion secured a break to that score to secure the win.
Suitably, he secured the win with a point at the net, with Moutet failing to handle a shot after a lengthy match.
