Nineteen of the Russian's 21 victories have been achieved on hard surfaces
A revitalized the Russian player secured his maiden championship for nearly 30 months with a win over opponent Moutet in the Almaty Open title decider.
The athlete, a former number one, has had a difficult period, achieving just one match at the big events and undergoing a meltdown at the New York tournament.
The player's varied form on the professional circuit - and difficulties with his serve in particular - caused him exiting of the world's top 10 and finally separating with former coach Gilles Cervara.
Now collaborating with Johansson and Rohan Goetzke, the tennis star has consistently progressed in the recent weeks - climaxing in a tightly fought three-set win over Frenchman Moutet.
This represents the player's maiden championship following the 2023 Rome Masters and initial on a hard court since March of that year.
The win also signifies Medvedev has won twenty-one victories at 21 distinct competitions.
"For the first time I am participating in a event with my both daughters simultaneously, so to secure a title is especially meaningful," commented world number 14 Medvedev.
"This title is in tribute of my second daughter my daughter, because the first title I achieved when my child her name was born was for her."
The athlete, the past champion, had lost his last six championship matches, featuring in Halle in the past months.
Medvedev's counter-punching approach and regular outbursts on the playing surface had caused some to question if his skill to perform at the elite level was finished.
Yet the player has implemented adjustments in the past month, striving to come to the net and play positively, reinforced by an better serving game.
The champion came back from a deficit in the opening set against the tricky opponent, winning four of the last five games to go ahead.
The pair swapped break points in the second set before Moutet, bidding for his first tour championship, seized the initiative to push for a third set.
Moutet defended four early-game break points in a tight deciding set before the champion secured a break to 15 to secure the win.
Appropriately, Medvedev clinched the win with a point at the front of the court, with the Frenchman failing to control a shot after a lengthy match.