19 of the Russian's 21 championships have been achieved on hard courts
A revitalized the Russian player secured his initial title for over two years with success over opponent Moutet in the competition final.
Medvedev, a former top-ranked player, has endured a difficult season, achieving just one match at the Grand Slams and undergoing a setback at the New York tournament.
The player's unpredictability on the ATP Tour - and issues with his serve in especial - led to him dropping out of the world's top 10 and finally separating with former trainer his previous coach.
Now working with his coach and Rohan Goetzke, he has consistently progressed in the recent weeks - culminating in a tightly fought competitive triumph over opponent Moutet.
This marks Medvedev's first trophy since the Rome competition and initial on a hard court after March of 2023.
The win also means the Russian has secured 21 championships at 21 different tournaments.
"It's the first time I have attended a event with my two daughters at once, so to win a trophy is particularly special," said world number 14 Daniil Medvedev.
"This championship is in honour of my younger daughter Victoria, because the first title I achieved when my first daughter my daughter was delivered was for her."
Medvedev, the past champion, had failed in his last six title deciders, featuring in the German tournament previously this season.
His counter-punching play style and recurring outbursts on court had caused commentators to doubt if his skill to perform at the highest level was over.
But the 29-year-old has implemented adjustments in recent weeks, making an effort to advance forward and perform positively, backed up by an better service.
He came back from a break down in the opening set against the tricky Frenchman, taking four of the last five games to take the lead.
The competitors exchanged break points in the following set before the Frenchman, striving for his maiden ATP Tour victory, seized the initiative to create a third set.
He saved 4 initial break points in a tight final set before Medvedev broke to 15 to secure the win.
Appropriately, he secured victory with a point at the net area, with Moutet incapable to control a volley after over two and a half hours.