19 of the Russian's 21 titles have been achieved on hard surfaces
A comeback Medvedev secured his maiden trophy for over two years with success over opponent Moutet in the competition title decider.
The athlete, a former top-ranked player, has endured a difficult year, managing just a single victory at the big events and suffering a meltdown at the American major.
The player's inconsistency on the ATP Tour - and issues with his service game in especial - caused him dropping out of the elite rankings and eventually separating with long-term mentor his previous coach.
Currently collaborating with Johansson and his other coach, the tennis star has gradually advanced in the recent weeks - climaxing in a tightly fought 7-5 4-6 6-3 victory over opponent Moutet.
This represents his maiden championship after the Italian tournament and first on a hard court after March of that year.
The win also signifies the Russian has won twenty-one championships at twenty-one different competitions.
"It's the first time I am participating in a tournament with my both daughters simultaneously, so to win a championship is really nice," said ranked player Medvedev.
"This title is in dedication of my child Victoria, because the initial championship I won when my child Alisa was born was for her."
The athlete, the former major winner, had lost his past six title deciders, featuring in the German tournament earlier this year.
His retrieving play style and frequent reactions on court had caused some to wonder if his skill to compete at the elite level was finished.
Yet the athlete has altered his approach in the last few weeks, attempting to advance forward and compete positively, backed up by an enhanced serve.
The champion recovered from a deficit in the first set against the tricky opponent, winning four of the final five exchanges to go ahead.
The competitors swapped breaks in the second set before the challenger, striving for his first professional title, took control to force a third set.
He saved 4 early chances in a close deciding set before the champion won the break to fifteen to secure the win.
Appropriately, the winner secured victory with a rally at the net area, with Moutet failing to handle a volley after two hours and 38 minutes.