19 of the Russian's twenty-one championships have been achieved on hardcourt
A resurgent Medvedev won his maiden title for 882 days with a win over opponent Moutet in the Almaty Open championship match.
Medvedev, a ex- world number one, has endured a torrid period, achieving just one win at the major tournaments and suffering a setback at the American major.
The player's varied form on the tennis tour - and struggles with his serve in specific - caused him dropping out of the world's top 10 and ultimately parting ways with long-term mentor his previous coach.
Presently training with Thomas Johansson and Rohan Goetzke, Medvedev has consistently improved in the recent weeks - climaxing in a hard-fought competitive victory over opponent Moutet.
It is Medvedev's maiden championship after the Rome competition and initial on a hardcourt from March of 2023.
Success also means the Russian has achieved 21 victories at twenty-one distinct tournaments.
"This marks the first occasion I'm at a tournament with my children at once, so to win a championship is really nice," said ranked player Medvedev.
"This victory is in tribute of my child my daughter, because the maiden victory I got when my child my daughter was born was for her."
The tennis star, the former major winner, had lost his past six championship matches, comprising in the German tournament in the past months.
The player's defensive strategy and recurring outbursts on the playing surface had led observers to doubt if his skill to play at the elite level was concluded.
However the player has made changes in the last few weeks, attempting to advance forward and perform positively, supported by an enhanced serve.
Medvedev fought back from a deficit in the initial set against the challenging opponent, securing 4 of the last five exchanges to gain the advantage.
The pair traded service breaks in the following set before the Frenchman, striving for his maiden ATP Tour championship, gained dominance to push for a final set.
Moutet defended 4 early chances in a tight third set before the champion secured a break to 15 to serve for the match.
Fittingly, Medvedev earned the win with a rally at the net, with the Frenchman unable to manage a return after a lengthy match.