19 of Medvedev's 21 titles have been earned on hardcourt
A revitalized the Russian player secured his first championship for nearly 30 months with victory over Frenchman Moutet in the competition title decider.
The Russian, a ex- top-ranked player, has endured a difficult season, achieving just one match at the major tournaments and experiencing a difficult moment at the US Open.
Medvedev's inconsistency on the tennis tour - and difficulties with his service game in specific - caused him exiting of the elite rankings and finally parting ways with long-time mentor his previous coach.
Now training with his coach and Goetzke, he has gradually improved in the past month - peaking in a closely contested 7-5 4-6 6-3 win over challenger Moutet.
This marks the player's maiden trophy since the Rome competition and maiden on a hardcourt from spring of that year.
Success also signifies the Russian has achieved twenty-one championships at twenty-one different competitions.
"For the first time I have attended a competition with my two daughters at once, so to secure a title is particularly special," stated world number 14 the champion.
"This championship is in dedication of my child my daughter, because the initial championship I achieved when my child my daughter was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his past six title deciders, including in Halle previously this season.
The player's counter-punching strategy and recurring outbursts on court had prompted observers to question if his capacity to perform at the elite level was over.
But the 29-year-old has implemented adjustments in the last few weeks, striving to come to the net and play aggressively, backed up by an better service.
Medvedev fought back from a disadvantage in the opening set against the tricky Moutet, securing four of the last five games to go ahead.
The competitors swapped service breaks in the following set before the Frenchman, attempting for his maiden tour title, gained dominance to force a third set.
The opponent rescued four initial break points in a tight deciding set before Medvedev won the break to 15 to serve for the match.
Suitably, he clinched the title with a shot at the net area, with his opponent failing to manage a shot after a lengthy match.