Nineteen of the Russian's 21 victories have been earned on hardcourt
A revitalized Medvedev won his first title for 882 days with a win over opponent Moutet in the tournament final.
The Russian, a former number one, has endured a challenging season, managing just one win at the Grand Slams and undergoing a meltdown at the New York tournament.
The player's varied form on the ATP Tour - and struggles with his service game in particular - caused him falling of the world's top 10 and eventually splitting with long-term mentor Gilles Cervara.
Currently training with Johansson and Goetzke, Medvedev has gradually advanced in the recent weeks - culminating in a tightly fought 7-5 4-6 6-3 victory over Frenchman Moutet.
This marks the player's first championship since the Rome competition and first on a hard court from spring of the previous year.
Success also signifies Medvedev has won twenty-one titles at 21 distinct events.
"For the first time I have attended a competition with my two daughters at once, so to secure a championship is particularly special," commented world number 14 the champion.
"This championship is in dedication of my child Victoria, because the first title I got when my older daughter Alisa was delivered was for her."
The athlete, the 2021 US Open champion, had lost his previous six finals, featuring in that event in the past months.
Medvedev's defensive play style and regular outbursts on the playing surface had led observers to wonder if his skill to play at the highest level was concluded.
But the athlete has implemented adjustments in the last few weeks, striving to come to the net and play assertively, supported by an enhanced serving game.
Medvedev came back from a deficit in the opening set against the tricky opponent, securing four of the last five exchanges to go ahead.
The competitors exchanged service breaks in the middle set before Moutet, bidding for his first ATP Tour title, gained dominance to push for a third set.
He defended four early break points in a competitive deciding set before the champion secured a break to 15 to serve for the match.
Appropriately, the winner earned the win with a point at the front of the court, with Moutet unable to control a return after two hours and 38 minutes.
