Nineteen of Medvedev's twenty-one titles have been won on hardcourt
A resurgent the Russian player won his maiden championship for 882 days with success over Frenchman Moutet in the Almaty Open final.
Medvedev, a ex- world number one, has experienced a difficult year, winning just a single victory at the major tournaments and undergoing a difficult moment at the American major.
The player's unpredictability on the professional circuit - and issues with his service game in especial - caused him falling of the elite rankings and eventually separating with long-time coach his previous coach.
Currently working with Johansson and his other coach, Medvedev has steadily improved in the recent weeks - peaking in a tightly fought three-set victory over opponent Moutet.
It is the player's maiden title after the Rome competition and initial on a hardcourt after that period of the previous year.
Victory also signifies Medvedev has achieved twenty-one victories at 21 distinct tournaments.
"It's the first time I'm at a competition with my two daughters simultaneously, so to secure a title is particularly special," stated world number 14 the champion.
"This victory is in dedication of my child Victoria, because the initial championship I achieved when my first daughter Alisa was born was for her."
The tennis star, the past champion, had failed in his last six finals, comprising in Halle earlier this year.
The player's retrieving approach and frequent emotional displays on court had prompted observers to wonder if his capacity to perform at the highest level was finished.
However the player has implemented adjustments in the last few weeks, making an effort to approach the net and compete positively, supported by an enhanced serve.
Medvedev recovered from a break down in the opening set against the challenging Moutet, securing four of the final five points to take the lead.
The competitors exchanged service breaks in the following set before the challenger, striving for his maiden ATP Tour championship, took control to force a final set.
Moutet rescued 4 initial break points in a tight third set before the Russian secured a break to 15 to serve for the match.
Fittingly, Medvedev clinched the win with a point at the front of the court, with Moutet failing to control a volley after two hours and 38 minutes.