19 of Medvedev's 21 championships have been achieved on hard surfaces
A resurgent the Russian player claimed his initial title for nearly 30 months with a win over opponent Moutet in the competition championship match.
Medvedev, a ex- world number one, has endured a challenging year, managing just a single victory at the major tournaments and undergoing a setback at the US Open.
His varied form on the ATP Tour - and struggles with his serving in particular - resulted in him dropping out of the elite rankings and ultimately splitting with former mentor Cervara.
Now collaborating with Johansson and his other coach, the tennis star has consistently improved in the past month - climaxing in a tightly fought three-set triumph over challenger Moutet.
It is his maiden title following the Italian tournament and maiden on a hard court after that period of that year.
Success also means Medvedev has achieved twenty-one victories at 21 different tournaments.
"For the first time I am participating in a tournament with my children at once, so to secure a trophy is particularly special," commented tennis professional Daniil Medvedev.
"This victory is in tribute of my second daughter Victoria, because the initial championship I got when my first daughter my daughter was born was for her."
The tennis star, the past champion, had lost his last six title deciders, featuring in the German tournament in the past months.
His retrieving play style and recurring outbursts on the playing surface had caused observers to question if his capacity to compete at the elite level was over.
Yet the 29-year-old has implemented adjustments in the last few weeks, attempting to come to the net and perform aggressively, backed up by an enhanced serving game.
He fought back from a deficit in the first set against the tricky Frenchman, winning 4 of the last five exchanges to take the lead.
The competitors exchanged service breaks in the middle set before the challenger, striving for his maiden ATP Tour championship, took control to force a third set.
He rescued 4 early-game opportunities in a close third set before the Russian won the break to 15 to serve for the match.
Appropriately, the winner clinched the win with a rally at the front of the court, with the Frenchman failing to manage a shot after a lengthy match.