19 of the Russian's 21 titles have been achieved on hard courts
A comeback Medvedev secured his maiden trophy for 882 days with a win over Frenchman Moutet in the Almaty Open championship match.
Medvedev, a ex- top-ranked player, has experienced a difficult year, winning just a single victory at the Grand Slams and suffering a setback at the US Open.
The player's varied form on the professional circuit - and struggles with his serve in specific - resulted in him dropping out of the world's top 10 and eventually splitting with former trainer Cervara.
Now collaborating with his coach and Rohan Goetzke, the tennis star has gradually progressed in the last few weeks - culminating in a hard-fought competitive victory over opponent Corentin Moutet.
This represents the player's maiden championship following the 2023 Rome Masters and first on a hardcourt since spring of that year.
The win also signifies he has won 21 titles at twenty-one distinct competitions.
"This marks the first occasion I'm at a tournament with my two daughters together, so to get a trophy is particularly special," commented tennis professional the champion.
"This victory is in dedication of my younger daughter my daughter, because the maiden victory I got when my child Alisa was born was for her."
The athlete, the past champion, had failed in his past six championship matches, comprising in Halle previously this season.
The player's defensive strategy and frequent reactions on the playing surface had prompted observers to doubt if his ability to play at the highest level was finished.
However the athlete has altered his approach in the past month, attempting to come to the net and play positively, reinforced by an better serving game.
The champion recovered from a disadvantage in the initial set against the challenging opponent, taking four of the last five games to go ahead.
The pair traded service breaks in the middle set before Moutet, attempting for his first professional championship, gained dominance to push for a final set.
The opponent defended four early chances in a competitive third set before the champion broke to 15 to serve for the match.
Appropriately, Medvedev secured the win with a shot at the net area, with the Frenchman unable to handle a volley after a lengthy match.