Nineteen of Medvedev's 21 titles have been won on hardcourt
A resurgent the Russian player won his initial title for 882 days with a win over opponent Moutet in the competition final.
The Russian, a former top-ranked player, has had a torrid year, achieving just a single victory at the Grand Slams and undergoing a difficult moment at the American major.
Medvedev's varied form on the ATP Tour - and difficulties with his serving in particular - caused him falling of the world's top 10 and eventually separating with long-term mentor Cervara.
Presently collaborating with Thomas Johansson and Rohan Goetzke, Medvedev has steadily progressed in the past month - climaxing in a hard-fought competitive triumph over opponent Moutet.
This represents the player's maiden trophy since the 2023 Rome Masters and initial on a hard surface since that period of that year.
Success also signifies the Russian has achieved 21 titles at 21 different competitions.
"This marks the first occasion I am participating in a event with my both daughters simultaneously, so to win a championship is really nice," said tennis professional the champion.
"This victory is in tribute of my second daughter my daughter, because the first title I won when my first daughter my daughter was born was for her."
The athlete, the past champion, had lost his past six title deciders, featuring in the German tournament in the past months.
His defensive strategy and recurring outbursts on the tennis court had led observers to question if his skill to compete at the top level was finished.
Yet the athlete has implemented adjustments in recent weeks, attempting to advance forward and compete aggressively, reinforced by an enhanced service.
Medvedev recovered from a break down in the opening set against the difficult Frenchman, securing four of the concluding five points to take the lead.
The pair exchanged service breaks in the second set before Moutet, bidding for his first tour title, gained dominance to push for a decider.
The opponent rescued 4 early break points in a tight final set before the Russian secured a break to that score to close out the victory.
Appropriately, the winner earned the title with a rally at the net area, with his opponent unable to handle a return after over two and a half hours.
