Nineteen of Medvedev's 21 championships have been achieved on hard surfaces
A resurgent the Russian player secured his initial title for 882 days with victory over opponent Moutet in the Almaty Open title decider.
The Russian, a ex- top-ranked player, has experienced a difficult season, managing just a single victory at the Grand Slams and undergoing a setback at the American major.
His varied form on the tennis tour - and issues with his serving in particular - resulted in him dropping out of the top ten and ultimately splitting with former mentor his previous coach.
Presently collaborating with Thomas Johansson and Rohan Goetzke, Medvedev has steadily improved in the past month - culminating in a hard-fought 7-5 4-6 6-3 victory over Frenchman Moutet.
This marks the player's maiden title after the Rome competition and initial on a hardcourt from March of that year.
The win also means he has achieved 21 titles at twenty-one different tournaments.
"It's the first time I am participating in a tournament with my two daughters simultaneously, so to secure a trophy is particularly special," said ranked player Daniil Medvedev.
"This championship is in honour of my child her name, because the initial championship I won when my child Alisa was born was for her."
The tennis star, the 2021 US Open champion, had failed in his previous six championship matches, featuring in the German tournament in the past months.
His retrieving play style and frequent outbursts on the tennis court had prompted observers to question if his skill to compete at the top level was concluded.
However the player has implemented adjustments in the past month, attempting to advance forward and compete aggressively, supported by an better serving game.
The champion recovered from a break down in the initial set against the tricky opponent, taking 4 of the last five exchanges to go ahead.
The pair traded service breaks in the middle set before the Frenchman, striving for his first professional title, seized the initiative to force a final set.
He saved 4 early chances in a competitive deciding set before the Russian secured a break to fifteen to close out the victory.
Suitably, Medvedev secured victory with a rally at the front of the court, with his opponent failing to handle a shot after over two and a half hours.
