Nineteen of the Russian's twenty-one victories have been achieved on hard courts
A revitalized the Russian player claimed his initial title for 882 days with success over Frenchman Moutet in the Almaty Open final.
The Russian, a ex- number one, has experienced a challenging season, achieving just one win at the major tournaments and undergoing a meltdown at the US Open.
The player's inconsistency on the ATP Tour - and difficulties with his serve in particular - caused him falling of the world's top 10 and eventually parting ways with long-term mentor his previous coach.
Currently training with Thomas Johansson and Goetzke, the tennis star has steadily advanced in the last few weeks - climaxing in a closely contested three-set triumph over opponent Moutet.
It is the player's initial championship following the 2023 Rome Masters and initial on a hardcourt after spring of 2023.
Victory also means Medvedev has won 21 championships at twenty-one distinct competitions.
"It's the first time I am participating in a tournament with my both daughters together, so to win a title is particularly special," stated world number 14 Medvedev.
"This title is in honour of my child my daughter, because the initial championship I won when my first daughter Alisa was born was for her."
Medvedev, the former major winner, had been defeated in his past six title deciders, comprising in the German tournament previously this season.
The player's defensive play style and frequent emotional displays on the playing surface had led commentators to question if his capacity to play at the elite level was over.
However the player has altered his approach in the past month, making an effort to approach the net and play aggressively, backed up by an enhanced serving game.
He fought back from a break down in the first set against the challenging Moutet, taking four of the last five exchanges to take the lead.
Both players exchanged service breaks in the middle set before Moutet, bidding for his first tour title, seized the initiative to force a decider.
He rescued four early-game break points in a tight final set before the champion secured a break to that score to secure the win.
Appropriately, he clinched the win with a shot at the front of the court, with Moutet incapable to manage a volley after a lengthy match.