Nineteen of the Russian's 21 championships have been won on hard courts
A resurgent Medvedev secured his maiden championship for nearly 30 months with victory over opponent Moutet in the competition title decider.
Medvedev, a ex- number one, has endured a torrid year, winning just one match at the big events and suffering a meltdown at the US Open.
Medvedev's inconsistency on the ATP Tour - and struggles with his serving in especial - led to him exiting of the world's top 10 and finally splitting with long-time mentor Gilles Cervara.
Currently training with his coach and his other coach, he has gradually improved in the last few weeks - climaxing in a hard-fought three-set triumph over challenger Moutet.
This represents Medvedev's initial championship following the 2023 Rome Masters and first on a hardcourt from spring of that year.
Success also means he has achieved 21 victories at twenty-one various events.
"For the first time I'm at a tournament with my children together, so to secure a title is especially meaningful," commented world number 14 Daniil Medvedev.
"This title is in honour of my second daughter Victoria, because the maiden victory I achieved when my first daughter my daughter was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his previous six title deciders, comprising in that event earlier this year.
The player's defensive strategy and regular emotional displays on the tennis court had prompted some to doubt if his skill to play at the highest level was concluded.
But the athlete has made changes in recent weeks, striving to come to the net and compete positively, backed up by an better service.
The champion fought back from a deficit in the initial set against the tricky Moutet, winning four of the last five exchanges to take the lead.
Both players swapped breaks in the second set before Moutet, attempting for his initial professional victory, seized the initiative to create a final set.
He defended four early opportunities in a close final set before the Russian won the break to that score to serve for the match.
Suitably, Medvedev clinched the title with a rally at the front of the court, with the Frenchman failing to control a shot after a lengthy match.
