Nineteen of Medvedev's 21 titles have been achieved on hard surfaces
A revitalized the Russian player secured his first title for 882 days with a win over opponent Moutet in the tournament final.
The athlete, a ex- world number one, has endured a difficult season, winning just one match at the big events and experiencing a meltdown at the US Open.
The player's varied form on the professional circuit - and difficulties with his serving in particular - resulted in him falling of the elite rankings and eventually separating with former mentor his previous coach.
Currently working with Johansson and his other coach, he has gradually progressed in the last few weeks - culminating in a closely contested 7-5 4-6 6-3 triumph over challenger Moutet.
It is Medvedev's first championship since the 2023 Rome Masters and initial on a hard court from spring of the previous year.
Success also signifies he has achieved twenty-one victories at 21 various tournaments.
"This marks the first occasion I'm at a tournament with my two daughters together, so to win a title is particularly special," stated tennis professional the champion.
"This victory is in dedication of my younger daughter Victoria, because the initial championship I achieved when my first daughter my daughter was delivered was for her."
The tennis star, the past champion, had failed in his last six finals, including in the German tournament previously this season.
His defensive strategy and frequent outbursts on the playing surface had caused observers to wonder if his capacity to play at the highest level was finished.
But the athlete has implemented adjustments in the past month, making an effort to approach the net and play positively, supported by an enhanced service.
Medvedev came back from a break down in the opening set against the tricky Moutet, securing four of the last five games to take the lead.
Both players traded service breaks in the second set before the challenger, bidding for his initial professional title, gained dominance to push for a decider.
He defended four early-game break points in a close third set before Medvedev broke to that score to secure the win.
Appropriately, Medvedev secured victory with a point at the front of the court, with the Frenchman unable to handle a volley after a lengthy match.
