Nineteen of Medvedev's 21 victories have been earned on hardcourt
A resurgent Medvedev secured his initial trophy for nearly 30 months with a win over opponent Moutet in the competition title decider.
Medvedev, a ex- world number one, has endured a challenging season, winning just one match at the major tournaments and suffering a difficult moment at the American major.
The player's unpredictability on the ATP Tour - and issues with his serve in specific - led to him dropping out of the elite rankings and ultimately parting ways with former mentor his previous coach.
Currently collaborating with Johansson and Goetzke, Medvedev has steadily advanced in the past month - climaxing in a hard-fought 7-5 4-6 6-3 win over challenger Moutet.
This marks the player's first title following the Rome competition and initial on a hard court after that period of the previous year.
Success also indicates Medvedev has achieved 21 victories at twenty-one various tournaments.
"This marks the first occasion I am participating in a event with my two daughters at once, so to secure a title is especially meaningful," commented world number 14 the champion.
"This title is in dedication of my child her name, because the first title I got when my child her name was delivered was for her."
The athlete, the former major winner, had lost his last six finals, including in that event previously this season.
Medvedev's retrieving approach and frequent outbursts on court had led some to wonder if his capacity to compete at the highest level was finished.
But the athlete has implemented adjustments in recent weeks, attempting to come to the net and perform assertively, supported by an improved serving game.
He fought back from a disadvantage in the opening set against the challenging Moutet, winning four of the last five points to go ahead.
The competitors traded service breaks in the second set before the challenger, bidding for his maiden professional championship, took control to push for a decider.
He saved 4 early opportunities in a competitive final set before Medvedev secured a break to that score to secure the win.
Suitably, he secured the win with a shot at the net area, with the Frenchman incapable to control a return after a lengthy match.