19 of the Russian's twenty-one titles have been won on hard surfaces
A comeback Medvedev secured his first title for nearly 30 months with a win over Frenchman Moutet in the tournament title decider.
The athlete, a former number one, has had a torrid year, winning just a single victory at the major tournaments and suffering a meltdown at the US Open.
Medvedev's varied form on the ATP Tour - and issues with his serve in specific - led to him falling of the top ten and finally separating with former coach Cervara.
Now collaborating with his coach and Rohan Goetzke, Medvedev has consistently advanced in the recent weeks - peaking in a tightly fought three-set victory over opponent Moutet.
This marks his maiden title since the Italian tournament and maiden on a hard court from that period of the previous year.
The win also indicates he has won twenty-one championships at 21 different competitions.
"For the first time I'm at a competition with my two daughters at once, so to win a trophy is particularly special," said world number 14 the champion.
"This title is in honour of my younger daughter my daughter, because the maiden victory I won when my first daughter my daughter was born was for her."
The tennis star, the 2021 US Open champion, had lost his past six finals, featuring in the German tournament previously this season.
Medvedev's retrieving play style and frequent emotional displays on court had led some to doubt if his capacity to play at the elite level was over.
Yet the player has made changes in the last few weeks, making an effort to advance forward and perform aggressively, reinforced by an improved service.
Medvedev recovered from a break down in the initial set against the tricky opponent, securing four of the final five games to go ahead.
The competitors exchanged service breaks in the second set before the Frenchman, bidding for his first tour victory, seized the initiative to force a final set.
The opponent saved 4 early-game opportunities in a close final set before the champion secured a break to fifteen to serve for the match.
Suitably, the winner earned victory with a shot at the net area, with his opponent failing to handle a return after over two and a half hours.