Nineteen of Medvedev's twenty-one championships have been achieved on hard surfaces
A resurgent Medvedev won his maiden title for nearly 30 months with a win over opponent Moutet in the Almaty Open championship match.
The Russian, a former world number one, has experienced a challenging season, winning just one match at the Grand Slams and suffering a meltdown at the New York tournament.
His inconsistency on the professional circuit - and difficulties with his serving in especial - resulted in him dropping out of the elite rankings and eventually splitting with former coach his previous coach.
Now collaborating with Thomas Johansson and Rohan Goetzke, the tennis star has steadily progressed in the last few weeks - peaking in a hard-fought three-set triumph over challenger Moutet.
This marks the player's first championship since the 2023 Rome Masters and initial on a hardcourt since that period of the previous year.
Success also means he has achieved twenty-one championships at 21 distinct competitions.
"This marks the first occasion I have attended a event with my two daughters simultaneously, so to win a championship is especially meaningful," said world number 14 the champion.
"This title is in tribute of my younger daughter her name, because the initial championship I got when my first daughter Alisa was born was for her."
Medvedev, the former major winner, had lost his past six title deciders, comprising in Halle earlier this year.
His retrieving strategy and frequent outbursts on the playing surface had caused some to doubt if his skill to play at the highest level was concluded.
However the athlete has made changes in the past month, making an effort to approach the net and compete assertively, backed up by an enhanced serving game.
The champion came back from a break down in the opening set against the difficult Frenchman, winning 4 of the concluding five points to gain the advantage.
The pair exchanged service breaks in the middle set before the challenger, striving for his first professional championship, gained dominance to force a final set.
He defended four early-game chances in a tight final set before the champion won the break to 15 to serve for the match.
Appropriately, Medvedev secured victory with a point at the net area, with Moutet unable to control a return after two hours and 38 minutes.
