19 of Medvedev's 21 titles have been won on hard courts
A resurgent Medvedev won his initial championship for 882 days with victory over opponent Moutet in the competition final.
The athlete, a former number one, has experienced a torrid period, managing just a single victory at the big events and experiencing a meltdown at the American major.
Medvedev's inconsistency on the tennis tour - and difficulties with his serving in specific - resulted in him falling of the world's top 10 and ultimately separating with long-term trainer Gilles Cervara.
Presently collaborating with Johansson and his other coach, he has gradually improved in the past month - culminating in a tightly fought 7-5 4-6 6-3 win over challenger Moutet.
This represents Medvedev's first championship since the Rome competition and initial on a hard surface since March of that year.
The win also means he has achieved 21 titles at 21 distinct events.
"For the first time I'm at a tournament with my both daughters at once, so to get a championship is particularly special," said ranked player Medvedev.
"This victory is in honour of my younger daughter Victoria, because the initial championship I won when my first daughter Alisa was born was for her."
The athlete, the 2021 US Open champion, had failed in his past six championship matches, comprising in the German tournament in the past months.
Medvedev's counter-punching strategy and frequent outbursts on the playing surface had caused commentators to question if his ability to perform at the top level was over.
However the player has implemented adjustments in the past month, striving to advance forward and perform positively, reinforced by an better service.
Medvedev fought back from a disadvantage in the opening set against the challenging Moutet, winning 4 of the concluding five points to take the lead.
The competitors swapped service breaks in the second set before the Frenchman, attempting for his initial professional title, seized the initiative to force a final set.
Moutet rescued four initial break points in a competitive third set before the champion broke to 15 to serve for the match.
Fittingly, Medvedev clinched the title with a shot at the net area, with his opponent failing to manage a volley after two hours and 38 minutes.
