Nineteen of the Russian's twenty-one titles have been won on hard surfaces
A revitalized Medvedev won his maiden trophy for over two years with victory over opponent Moutet in the competition title decider.
The athlete, a former top-ranked player, has had a challenging period, achieving just a single victory at the Grand Slams and undergoing a setback at the US Open.
Medvedev's unpredictability on the ATP Tour - and struggles with his serve in especial - caused him falling of the world's top 10 and eventually separating with long-term trainer Gilles Cervara.
Now collaborating with Johansson and Rohan Goetzke, Medvedev has gradually progressed in the past month - climaxing in a closely contested three-set victory over Frenchman Moutet.
It is his first trophy after the Italian tournament and initial on a hard court from spring of the previous year.
The win also signifies he has achieved twenty-one championships at twenty-one different competitions.
"This marks the first occasion I have attended a competition with my two daughters simultaneously, so to get a trophy is especially meaningful," commented ranked player the champion.
"This title is in tribute of my younger daughter my daughter, because the maiden victory I achieved when my child my daughter was delivered was for her."
Medvedev, the 2021 US Open champion, had been defeated in his previous six championship matches, comprising in that event earlier this year.
The player's defensive approach and recurring outbursts on the tennis court had caused commentators to doubt if his ability to play at the highest level was concluded.
However the 29-year-old has made changes in recent weeks, making an effort to advance forward and perform assertively, backed up by an better serve.
He fought back from a disadvantage in the first set against the tricky Moutet, winning four of the concluding five points to go ahead.
Both players exchanged service breaks in the middle set before the Frenchman, bidding for his first ATP Tour title, took control to create a decider.
Moutet saved four early opportunities in a close final set before the Russian secured a break to 15 to secure the win.
Fittingly, he earned the win with a point at the net, with the Frenchman unable to control a volley after two hours and 38 minutes.
