Nineteen of Medvedev's twenty-one victories have been achieved on hardcourt
A resurgent Medvedev secured his maiden title for nearly 30 months with success over opponent Moutet in the Almaty Open championship match.
The Russian, a former world number one, has endured a torrid season, achieving just a single victory at the big events and experiencing a difficult moment at the US Open.
The player's inconsistency on the ATP Tour - and difficulties with his serving in specific - led to him exiting of the elite rankings and ultimately parting ways with former trainer Gilles Cervara.
Presently training with his coach and his other coach, he has steadily progressed in the last few weeks - culminating in a hard-fought competitive victory over challenger Moutet.
This represents the player's maiden title after the Rome competition and first on a hard court since spring of 2023.
Success also indicates he has secured 21 victories at 21 different competitions.
"For the first time I am participating in a competition with my both daughters together, so to get a championship is especially meaningful," said world number 14 the champion.
"This victory is in honour of my child Victoria, because the initial championship I achieved when my child Alisa was born was for her."
The athlete, the former major winner, had lost his last six title deciders, including in that event in the past months.
The player's counter-punching play style and frequent outbursts on the tennis court had prompted commentators to wonder if his ability to play at the highest level was finished.
Yet the athlete has implemented adjustments in recent weeks, striving to approach the net and play positively, backed up by an enhanced serving game.
He fought back from a break down in the initial set against the difficult Frenchman, securing 4 of the final five points to go ahead.
The pair exchanged breaks in the following set before Moutet, bidding for his maiden ATP Tour championship, took control to force a decider.
The opponent defended 4 initial opportunities in a tight deciding set before the Russian won the break to that score to serve for the match.
Suitably, Medvedev clinched the win with a rally at the net, with his opponent failing to manage a return after over two and a half hours.