Nineteen of Medvedev's 21 championships have been won on hardcourt
A comeback Medvedev won his initial championship for 882 days with success over Frenchman Moutet in the tournament championship match.
The Russian, a former world number one, has endured a torrid period, achieving just one win at the Grand Slams and suffering a setback at the New York tournament.
Medvedev's unpredictability on the professional circuit - and difficulties with his service game in especial - caused him exiting of the elite rankings and ultimately splitting with long-time coach his previous coach.
Now collaborating with Thomas Johansson and Goetzke, he has steadily improved in the past month - culminating in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
It is Medvedev's initial title since the Rome competition and first on a hard surface since that period of 2023.
The win also signifies Medvedev has won twenty-one titles at twenty-one distinct tournaments.
"It's the first time I'm at a competition with my two daughters at once, so to secure a title is really nice," stated tennis professional Medvedev.
"This title is in honour of my younger daughter her name, because the initial championship I achieved when my older daughter her name was delivered was for her."
Medvedev, the former major winner, had been defeated in his last six championship matches, featuring in Halle previously this season.
Medvedev's counter-punching strategy and regular reactions on the playing surface had prompted commentators to question if his capacity to compete at the top level was concluded.
But the athlete has implemented adjustments in the past month, making an effort to come to the net and perform assertively, backed up by an better serving game.
The champion fought back from a deficit in the initial set against the difficult opponent, securing four of the last five games to go ahead.
The pair exchanged service breaks in the following set before the challenger, striving for his initial tour title, gained dominance to push for a third set.
Moutet defended four initial break points in a close deciding set before Medvedev secured a break to 15 to secure the win.
Appropriately, the winner earned the win with a shot at the net area, with Moutet failing to manage a return after two hours and 38 minutes.
