Nineteen of the Russian's twenty-one victories have been earned on hard surfaces
A comeback Medvedev secured his initial championship for nearly 30 months with success over opponent Moutet in the tournament championship match.
The athlete, a ex- top-ranked player, has endured a torrid period, achieving just one win at the major tournaments and experiencing a setback at the New York tournament.
His unpredictability on the tennis tour - and difficulties with his serve in particular - caused him dropping out of the elite rankings and ultimately splitting with long-term coach Cervara.
Presently training with Thomas Johansson and Goetzke, Medvedev has consistently improved in the past month - culminating in a tightly fought three-set win over opponent Corentin Moutet.
This marks Medvedev's initial trophy following the 2023 Rome Masters and maiden on a hardcourt after March of 2023.
Victory also indicates Medvedev has secured twenty-one titles at twenty-one distinct tournaments.
"This marks the first occasion I am participating in a competition with my children simultaneously, so to get a trophy is really nice," said world number 14 Medvedev.
"This victory is in dedication of my second daughter Victoria, because the initial championship I achieved when my child Alisa was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his past six finals, including in the German tournament previously this season.
Medvedev's retrieving approach and regular emotional displays on court had led commentators to doubt if his capacity to play at the highest level was finished.
However the player has made changes in the past month, making an effort to come to the net and play aggressively, supported by an improved serving game.
Medvedev came back from a break down in the initial set against the challenging Frenchman, securing 4 of the final five exchanges to gain the advantage.
The competitors swapped break points in the following set before the challenger, striving for his initial tour championship, took control to force a third set.
Moutet rescued 4 early opportunities in a close final set before Medvedev won the break to that score to serve for the match.
Fittingly, the winner earned the win with a point at the front of the court, with the Frenchman unable to handle a volley after a lengthy match.