19 of Medvedev's 21 championships have been earned on hard courts
A resurgent the Russian player secured his initial title for 882 days with victory over Frenchman Moutet in the tournament final.
Medvedev, a ex- top-ranked player, has had a torrid season, winning just one match at the Grand Slams and experiencing a difficult moment at the New York tournament.
Medvedev's unpredictability on the ATP Tour - and issues with his serving in especial - led to him dropping out of the top ten and finally parting ways with long-time trainer Gilles Cervara.
Currently collaborating with Thomas Johansson and his other coach, he has steadily advanced in the last few weeks - climaxing in a closely contested 7-5 4-6 6-3 win over challenger Moutet.
This marks the player's maiden title after the Italian tournament and initial on a hard court from spring of that year.
The win also indicates Medvedev has secured twenty-one championships at twenty-one different tournaments.
"For the first time I'm at a competition with my two daughters simultaneously, so to win a title is really nice," commented world number 14 the champion.
"This title is in tribute of my second daughter my daughter, because the initial championship I achieved when my child Alisa was born was for her."
Medvedev, the 2021 US Open champion, had failed in his previous six championship matches, featuring in Halle earlier this year.
Medvedev's retrieving play style and frequent emotional displays on court had caused some to question if his skill to play at the elite level was over.
Yet the player has implemented adjustments in the last few weeks, attempting to come to the net and compete aggressively, backed up by an enhanced service.
The champion fought back from a deficit in the initial set against the tricky Moutet, taking four of the last five exchanges to go ahead.
Both players swapped service breaks in the following set before Moutet, attempting for his first ATP Tour victory, gained dominance to force a third set.
Moutet defended 4 initial chances in a close deciding set before the Russian won the break to 15 to close out the victory.
Suitably, he earned victory with a shot at the front of the court, with Moutet incapable to handle a return after over two and a half hours.
