19 of Medvedev's twenty-one championships have been won on hardcourt
A revitalized the Russian player claimed his maiden trophy for over two years with success over Frenchman Moutet in the tournament final.
Medvedev, a former number one, has experienced a difficult year, achieving just one win at the big events and suffering a setback at the New York tournament.
His inconsistency on the tennis tour - and struggles with his serving in particular - resulted in him exiting of the elite rankings and finally splitting with former trainer Gilles Cervara.
Currently working with Thomas Johansson and Goetzke, he has gradually advanced in the last few weeks - climaxing in a hard-fought competitive triumph over opponent Moutet.
This represents the player's first title following the 2023 Rome Masters and maiden on a hard court after that period of that year.
Success also indicates he has secured twenty-one titles at twenty-one various competitions.
"For the first time I have attended a competition with my children at once, so to secure a title is particularly special," commented tennis professional Medvedev.
"This title is in tribute of my child her name, because the maiden victory I won when my first daughter Alisa was delivered was for her."
The athlete, the 2021 US Open champion, had failed in his previous six championship matches, including in Halle earlier this year.
Medvedev's retrieving strategy and regular emotional displays on the playing surface had led some to question if his skill to perform at the top level was over.
Yet the athlete has made changes in recent weeks, attempting to come to the net and play aggressively, supported by an improved serving game.
He fought back from a deficit in the first set against the challenging opponent, securing four of the last five exchanges to gain the advantage.
Both players swapped service breaks in the middle set before Moutet, attempting for his initial tour victory, seized the initiative to push for a third set.
The opponent rescued four initial chances in a competitive final set before the Russian broke to fifteen to serve for the match.
Appropriately, the winner clinched the title with a shot at the front of the court, with the Frenchman failing to handle a shot after two hours and 38 minutes.