Nineteen of Medvedev's 21 championships have been won on hard surfaces
A revitalized the Russian player won his initial title for 882 days with victory over opponent Moutet in the tournament final.
The Russian, a ex- number one, has had a torrid season, managing just one win at the big events and undergoing a difficult moment at the New York tournament.
His inconsistency on the ATP Tour - and difficulties with his serving in especial - caused him exiting of the elite rankings and eventually parting ways with long-time mentor his previous coach.
Currently working with Johansson and Rohan Goetzke, Medvedev has consistently progressed in the last few weeks - climaxing in a hard-fought competitive win over Frenchman Corentin Moutet.
This marks his initial trophy after the Italian tournament and maiden on a hardcourt after spring of that year.
The win also signifies he has won twenty-one titles at 21 distinct events.
"For the first time I'm at a tournament with my both daughters together, so to get a trophy is really nice," stated tennis professional the champion.
"This championship is in dedication of my younger daughter Victoria, because the initial championship I won when my first daughter Alisa was born was for her."
The athlete, the 2021 US Open champion, had lost his last six championship matches, including in Halle previously this season.
Medvedev's retrieving approach and recurring emotional displays on the playing surface had prompted observers to question if his capacity to play at the top level was finished.
Yet the 29-year-old has altered his approach in recent weeks, attempting to come to the net and perform assertively, backed up by an better service.
He fought back from a disadvantage in the first set against the tricky opponent, winning four of the final five points to take the lead.
Both players traded service breaks in the middle set before Moutet, bidding for his initial professional title, seized the initiative to create a final set.
Moutet rescued four early chances in a tight deciding set before Medvedev secured a break to fifteen to close out the victory.
Suitably, Medvedev earned the title with a shot at the front of the court, with the Frenchman unable to manage a return after two hours and 38 minutes.