Nineteen of the Russian's twenty-one titles have been earned on hard courts
A resurgent the Russian player won his first championship for 882 days with victory over Frenchman Moutet in the tournament title decider.
Medvedev, a former world number one, has had a challenging year, achieving just one win at the Grand Slams and suffering a meltdown at the US Open.
The player's varied form on the tennis tour - and struggles with his serving in specific - resulted in him falling of the world's top 10 and eventually splitting with long-term trainer his previous coach.
Currently training with his coach and his other coach, Medvedev has gradually advanced in the past month - culminating in a closely contested three-set victory over Frenchman Moutet.
This marks his maiden trophy after the 2023 Rome Masters and first on a hard surface after March of the previous year.
Victory also signifies the Russian has secured twenty-one titles at twenty-one different events.
"For the first time I'm at a event with my two daughters together, so to get a championship is really nice," said world number 14 Medvedev.
"This championship is in honour of my younger daughter Victoria, because the first title I won when my first daughter Alisa was born was for her."
The tennis star, the 2021 US Open champion, had failed in his past six finals, including in the German tournament earlier this year.
His retrieving strategy and frequent emotional displays on the tennis court had led observers to wonder if his ability to perform at the top level was concluded.
But the athlete has implemented adjustments in recent weeks, striving to come to the net and perform assertively, backed up by an enhanced serving game.
Medvedev came back from a disadvantage in the first set against the tricky opponent, taking four of the concluding five points to take the lead.
The competitors traded service breaks in the middle set before the Frenchman, striving for his first professional victory, gained dominance to push for a third set.
He saved 4 early chances in a close deciding set before Medvedev broke to that score to close out the victory.
Suitably, the winner clinched victory with a point at the front of the court, with Moutet incapable to manage a return after two hours and 38 minutes.
