19 of Medvedev's 21 championships have been earned on hardcourt
A resurgent the Russian player won his first trophy for nearly 30 months with a win over Frenchman Moutet in the tournament championship match.
Medvedev, a ex- world number one, has endured a challenging season, managing just one match at the major tournaments and suffering a meltdown at the American major.
His unpredictability on the tennis tour - and difficulties with his serving in especial - led to him dropping out of the elite rankings and finally separating with long-term trainer his previous coach.
Now working with Thomas Johansson and Goetzke, the tennis star has gradually improved in the past month - peaking in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
This represents Medvedev's first trophy after the Rome competition and initial on a hardcourt from that period of 2023.
The win also means Medvedev has won twenty-one titles at twenty-one different events.
"This marks the first occasion I'm at a tournament with my two daughters together, so to secure a title is especially meaningful," commented ranked player Medvedev.
"This victory is in honour of my younger daughter my daughter, because the first title I got when my child her name was born was for her."
The athlete, the past champion, had been defeated in his past six title deciders, including in Halle previously this season.
His counter-punching strategy and regular emotional displays on court had caused commentators to question if his capacity to compete at the highest level was concluded.
But the athlete has implemented adjustments in the past month, attempting to advance forward and compete assertively, supported by an better service.
He came back from a deficit in the opening set against the difficult Frenchman, taking four of the final five games to go ahead.
The pair traded breaks in the following set before the challenger, bidding for his maiden ATP Tour championship, took control to force a final set.
The opponent rescued 4 initial opportunities in a competitive deciding set before the Russian won the break to that score to close out the victory.
Suitably, Medvedev secured victory with a rally at the front of the court, with the Frenchman incapable to manage a return after two hours and 38 minutes.