Nineteen of Medvedev's twenty-one titles have been earned on hardcourt
A revitalized the Russian player won his first title for 882 days with a win over opponent Moutet in the Almaty Open title decider.
The Russian, a former number one, has endured a challenging season, achieving just one win at the major tournaments and undergoing a meltdown at the US Open.
The player's varied form on the professional circuit - and difficulties with his serve in especial - led to him exiting of the elite rankings and finally parting ways with long-time trainer Gilles Cervara.
Now training with Thomas Johansson and Rohan Goetzke, he has consistently improved in the past month - peaking in a hard-fought competitive win over Frenchman Moutet.
This marks his initial trophy following the Italian tournament and initial on a hardcourt after March of that year.
The win also means Medvedev has achieved twenty-one victories at 21 distinct competitions.
"For the first time I am participating in a event with my children together, so to get a championship is particularly special," said tennis professional the champion.
"This title is in dedication of my second daughter her name, because the initial championship I won when my older daughter Alisa was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his last six finals, comprising in that event earlier this year.
His retrieving play style and frequent reactions on court had prompted observers to question if his capacity to compete at the highest level was over.
Yet the 29-year-old has altered his approach in the past month, attempting to advance forward and play assertively, supported by an better serve.
The champion fought back from a deficit in the opening set against the tricky Moutet, winning 4 of the concluding five games to go ahead.
The competitors swapped breaks in the middle set before the Frenchman, attempting for his first tour title, took control to force a third set.
Moutet saved four early-game opportunities in a close third set before the Russian won the break to fifteen to secure the win.
Fittingly, the winner earned the win with a rally at the net area, with Moutet unable to control a volley after two hours and 38 minutes.