Nineteen of the Russian's 21 titles have been achieved on hard surfaces
A resurgent the Russian player secured his initial trophy for 882 days with a win over Frenchman Moutet in the competition championship match.
The athlete, a former top-ranked player, has endured a difficult period, winning just a single victory at the Grand Slams and suffering a meltdown at the New York tournament.
Medvedev's inconsistency on the tennis tour - and difficulties with his serving in especial - resulted in him dropping out of the top ten and eventually separating with former coach Cervara.
Currently collaborating with his coach and Goetzke, he has steadily improved in the recent weeks - peaking in a hard-fought three-set victory over challenger Moutet.
This marks his first championship since the 2023 Rome Masters and initial on a hard court since March of the previous year.
Success also signifies he has secured twenty-one titles at twenty-one different events.
"This marks the first occasion I am participating in a event with my two daughters simultaneously, so to secure a championship is really nice," stated world number 14 Medvedev.
"This championship is in dedication of my child her name, because the first title I got when my child her name was delivered was for her."
Medvedev, the 2021 US Open champion, had lost his last six championship matches, including in Halle earlier this year.
His defensive approach and regular reactions on the playing surface had caused observers to wonder if his ability to play at the highest level was finished.
But the athlete has altered his approach in the last few weeks, attempting to approach the net and perform positively, supported by an better service.
The champion fought back from a deficit in the initial set against the tricky Moutet, securing 4 of the final five exchanges to gain the advantage.
The pair swapped breaks in the second set before the Frenchman, striving for his initial tour championship, took control to force a third set.
He defended four initial opportunities in a competitive third set before the Russian broke to fifteen to secure the win.
Appropriately, the winner clinched the win with a rally at the front of the court, with Moutet incapable to control a shot after two hours and 38 minutes.
