Nineteen of Medvedev's 21 championships have been earned on hard courts
A resurgent the Russian player claimed his maiden title for 882 days with a win over opponent Moutet in the competition final.
The Russian, a ex- top-ranked player, has had a difficult period, managing just one match at the major tournaments and undergoing a meltdown at the American major.
Medvedev's varied form on the professional circuit - and struggles with his serve in specific - resulted in him dropping out of the top ten and finally parting ways with long-time coach his previous coach.
Presently training with his coach and his other coach, he has steadily improved in the last few weeks - peaking in a tightly fought three-set victory over challenger Moutet.
It is Medvedev's first trophy following the Rome competition and maiden on a hard surface from March of that year.
The win also indicates Medvedev has won 21 championships at 21 various competitions.
"It's the first time I am participating in a competition with my both daughters simultaneously, so to get a championship is especially meaningful," stated tennis professional the champion.
"This title is in honour of my younger daughter my daughter, because the first title I got when my child Alisa was born was for her."
The tennis star, the 2021 US Open champion, had been defeated in his previous six title deciders, featuring in the German tournament previously this season.
His retrieving strategy and frequent outbursts on the playing surface had caused observers to doubt if his skill to play at the highest level was over.
However the 29-year-old has made changes in the past month, making an effort to come to the net and compete positively, backed up by an enhanced service.
Medvedev fought back from a deficit in the first set against the difficult opponent, securing four of the final five exchanges to gain the advantage.
Both players swapped service breaks in the second set before Moutet, striving for his maiden tour victory, took control to create a final set.
He defended four initial opportunities in a tight third set before Medvedev won the break to that score to close out the victory.
Appropriately, the winner clinched the win with a rally at the net area, with Moutet unable to handle a shot after two hours and 38 minutes.