19 of Medvedev's twenty-one victories have been achieved on hardcourt
A resurgent the Russian player won his first championship for nearly 30 months with success over opponent Moutet in the Almaty Open title decider.
The Russian, a ex- number one, has experienced a difficult year, achieving just one win at the Grand Slams and undergoing a meltdown at the American major.
His varied form on the professional circuit - and issues with his service game in specific - led to him exiting of the top ten and eventually separating with long-time coach Gilles Cervara.
Currently working with Johansson and Rohan Goetzke, Medvedev has steadily improved in the recent weeks - culminating in a hard-fought competitive triumph over opponent Corentin Moutet.
This marks his initial championship following the 2023 Rome Masters and initial on a hardcourt after spring of that year.
The win also means he has achieved 21 victories at 21 distinct events.
"It's the first time I'm at a tournament with my children simultaneously, so to secure a trophy is especially meaningful," said ranked player Medvedev.
"This victory is in dedication of my child her name, because the first title I achieved when my older daughter her name was born was for her."
The tennis star, the past champion, had failed in his past six title deciders, comprising in Halle previously this season.
The player's defensive approach and frequent outbursts on court had led commentators to question if his ability to play at the elite level was finished.
Yet the athlete has made changes in the past month, striving to come to the net and perform assertively, supported by an better serving game.
He recovered from a break down in the opening set against the difficult Frenchman, winning four of the concluding five exchanges to gain the advantage.
Both players traded break points in the second set before the Frenchman, striving for his maiden ATP Tour title, took control to push for a final set.
He rescued four early opportunities in a competitive final set before the champion secured a break to fifteen to secure the win.
Appropriately, he secured the title with a shot at the front of the court, with Moutet failing to control a volley after over two and a half hours.