Nineteen of Medvedev's 21 victories have been earned on hard courts
A comeback the Russian player claimed his maiden trophy for nearly 30 months with a win over opponent Moutet in the Almaty Open title decider.
Medvedev, a former world number one, has experienced a difficult year, achieving just one win at the Grand Slams and undergoing a difficult moment at the American major.
The player's unpredictability on the ATP Tour - and issues with his serving in specific - resulted in him dropping out of the world's top 10 and finally splitting with former mentor his previous coach.
Now working with Johansson and his other coach, the tennis star has gradually improved in the last few weeks - climaxing in a hard-fought 7-5 4-6 6-3 victory over Frenchman Moutet.
This marks his maiden title since the 2023 Rome Masters and initial on a hard surface from that period of the previous year.
The win also means Medvedev has achieved 21 victories at 21 distinct tournaments.
"It's the first time I am participating in a competition with my two daughters simultaneously, so to secure a championship is really nice," stated tennis professional Medvedev.
"This championship is in dedication of my second daughter her name, because the first title I won when my older daughter her name was born was for her."
The tennis star, the past champion, had lost his previous six title deciders, including in Halle earlier this year.
Medvedev's defensive strategy and frequent emotional displays on the playing surface had led some to doubt if his capacity to compete at the elite level was over.
However the player has altered his approach in recent weeks, making an effort to approach the net and perform assertively, backed up by an better serving game.
He recovered from a break down in the initial set against the difficult Moutet, taking 4 of the concluding five points to go ahead.
Both players swapped breaks in the second set before the Frenchman, bidding for his first ATP Tour championship, seized the initiative to push for a third set.
The opponent defended 4 early-game chances in a close final set before the Russian broke to fifteen to serve for the match.
Appropriately, Medvedev earned the win with a rally at the net, with Moutet incapable to manage a shot after two hours and 38 minutes.
