Nineteen of Medvedev's twenty-one titles have been earned on hard courts
A resurgent the Russian player secured his first championship for 882 days with victory over Frenchman Moutet in the competition final.
Medvedev, a former world number one, has had a challenging year, managing just one match at the Grand Slams and suffering a difficult moment at the New York tournament.
Medvedev's unpredictability on the ATP Tour - and difficulties with his serve in specific - resulted in him falling of the elite rankings and finally parting ways with former trainer his previous coach.
Presently training with his coach and Goetzke, Medvedev has consistently advanced in the last few weeks - climaxing in a hard-fought three-set win over opponent Corentin Moutet.
This marks the player's initial title after the 2023 Rome Masters and first on a hard court since March of the previous year.
Victory also signifies he has achieved twenty-one victories at twenty-one distinct competitions.
"It's the first time I have attended a event with my children together, so to get a title is really nice," stated ranked player Medvedev.
"This victory is in dedication of my second daughter my daughter, because the first title I got when my older daughter my daughter was delivered was for her."
The athlete, the 2021 US Open champion, had failed in his previous six title deciders, including in Halle previously this season.
The player's defensive play style and frequent outbursts on the playing surface had prompted commentators to question if his ability to perform at the top level was over.
But the 29-year-old has altered his approach in the last few weeks, making an effort to approach the net and compete assertively, supported by an improved serving game.
The champion recovered from a deficit in the initial set against the tricky opponent, winning 4 of the last five points to take the lead.
Both players swapped break points in the following set before the Frenchman, bidding for his first ATP Tour championship, took control to force a decider.
Moutet saved 4 early chances in a close deciding set before the champion won the break to fifteen to close out the victory.
Appropriately, he secured victory with a point at the net area, with his opponent failing to manage a volley after over two and a half hours.