19 of Medvedev's twenty-one victories have been won on hardcourt
A comeback Medvedev won his initial championship for nearly 30 months with a win over opponent Moutet in the tournament championship match.
Medvedev, a former world number one, has endured a challenging period, managing just a single victory at the major tournaments and experiencing a meltdown at the US Open.
The player's inconsistency on the tennis tour - and issues with his serve in specific - led to him dropping out of the elite rankings and eventually splitting with long-term trainer Cervara.
Now collaborating with Thomas Johansson and his other coach, the tennis star has gradually improved in the last few weeks - peaking in a tightly fought 7-5 4-6 6-3 triumph over opponent Moutet.
This represents the player's first championship following the Italian tournament and maiden on a hard court after spring of the previous year.
The win also indicates Medvedev has won twenty-one victories at twenty-one distinct events.
"For the first time I'm at a competition with my two daughters simultaneously, so to get a title is especially meaningful," said ranked player Medvedev.
"This victory is in dedication of my second daughter my daughter, because the initial championship I won when my child her name was born was for her."
The athlete, the former major winner, had lost his last six championship matches, comprising in that event in the past months.
His counter-punching approach and regular outbursts on court had prompted some to question if his skill to play at the highest level was finished.
But the player has made changes in the last few weeks, making an effort to approach the net and compete positively, supported by an enhanced serve.
He recovered from a deficit in the first set against the tricky Frenchman, securing 4 of the last five points to gain the advantage.
Both players traded service breaks in the middle set before the Frenchman, bidding for his initial ATP Tour victory, took control to force a final set.
Moutet defended four initial opportunities in a competitive final set before the champion broke to 15 to secure the win.
Suitably, the winner clinched the win with a shot at the net area, with the Frenchman incapable to handle a return after over two and a half hours.