19 of Medvedev's 21 championships have been achieved on hard surfaces
A resurgent the Russian player claimed his first trophy for 882 days with a win over Frenchman Moutet in the tournament title decider.
Medvedev, a former number one, has endured a challenging season, managing just one match at the big events and suffering a difficult moment at the American major.
Medvedev's unpredictability on the tennis tour - and issues with his serve in specific - resulted in him dropping out of the top ten and ultimately splitting with long-term coach Gilles Cervara.
Now working with Thomas Johansson and Goetzke, he has steadily improved in the past month - culminating in a hard-fought three-set victory over opponent Moutet.
This marks the player's initial title after the Italian tournament and maiden on a hardcourt from spring of 2023.
The win also indicates he has won twenty-one championships at twenty-one distinct tournaments.
"For the first time I am participating in a competition with my children together, so to win a title is particularly special," commented world number 14 the champion.
"This championship is in tribute of my second daughter Victoria, because the maiden victory I got when my child Alisa was born was for her."
The athlete, the 2021 US Open champion, had been defeated in his previous six finals, including in Halle earlier this year.
Medvedev's retrieving play style and regular outbursts on court had led observers to wonder if his capacity to perform at the elite level was concluded.
However the athlete has altered his approach in recent weeks, making an effort to come to the net and perform assertively, supported by an better serve.
Medvedev fought back from a break down in the opening set against the tricky opponent, winning 4 of the final five points to take the lead.
The competitors swapped service breaks in the middle set before the challenger, attempting for his initial professional victory, took control to force a final set.
Moutet defended 4 initial break points in a competitive third set before the Russian broke to that score to close out the victory.
Fittingly, Medvedev earned the win with a shot at the net area, with the Frenchman failing to control a return after a lengthy match.
