Nineteen of the Russian's 21 championships have been earned on hard courts
A comeback Medvedev won his maiden trophy for 882 days with victory over Frenchman Moutet in the competition championship match.
The Russian, a former number one, has had a challenging season, managing just one match at the big events and experiencing a difficult moment at the American major.
Medvedev's unpredictability on the tennis tour - and difficulties with his serving in particular - resulted in him exiting of the elite rankings and finally parting ways with long-time trainer Cervara.
Currently collaborating with Johansson and Rohan Goetzke, he has gradually progressed in the recent weeks - peaking in a hard-fought 7-5 4-6 6-3 triumph over challenger Corentin Moutet.
This represents the player's first title since the Rome competition and first on a hard court after that period of 2023.
Victory also indicates he has achieved 21 titles at 21 various competitions.
"It's the first time I have attended a event with my both daughters simultaneously, so to get a title is especially meaningful," said tennis professional the champion.
"This victory is in tribute of my child my daughter, because the maiden victory I got when my first daughter Alisa was born was for her."
The tennis star, the former major winner, had lost his previous six title deciders, comprising in the German tournament earlier this year.
Medvedev's counter-punching approach and regular emotional displays on court had prompted observers to question if his skill to perform at the top level was over.
Yet the 29-year-old has implemented adjustments in the past month, making an effort to approach the net and play positively, reinforced by an improved serving game.
He fought back from a break down in the first set against the challenging Frenchman, winning 4 of the last five points to gain the advantage.
Both players traded breaks in the second set before the Frenchman, attempting for his initial ATP Tour victory, gained dominance to create a third set.
The opponent defended four early-game chances in a competitive third set before Medvedev secured a break to fifteen to close out the victory.
Appropriately, Medvedev clinched the title with a point at the net, with the Frenchman unable to control a volley after a lengthy match.
