Nineteen of Medvedev's twenty-one championships have been earned on hard courts
A resurgent the Russian player claimed his maiden championship for 882 days with victory over opponent Moutet in the tournament championship match.
Medvedev, a ex- top-ranked player, has endured a torrid season, achieving just a single victory at the big events and suffering a setback at the American major.
His unpredictability on the professional circuit - and difficulties with his serving in specific - caused him exiting of the top ten and eventually separating with long-time trainer Gilles Cervara.
Now training with his coach and Goetzke, Medvedev has gradually improved in the past month - climaxing in a closely contested three-set triumph over Frenchman Moutet.
This represents the player's initial title following the Rome competition and maiden on a hard court after March of that year.
Victory also signifies Medvedev has secured 21 championships at twenty-one distinct tournaments.
"This marks the first occasion I am participating in a competition with my children together, so to secure a championship is really nice," said tennis professional Daniil Medvedev.
"This title is in dedication of my second daughter her name, because the initial championship I got when my first daughter my daughter was born was for her."
Medvedev, the former major winner, had lost his previous six finals, featuring in the German tournament previously this season.
The player's retrieving approach and recurring emotional displays on court had prompted commentators to doubt if his skill to play at the highest level was over.
Yet the 29-year-old has made changes in the past month, making an effort to advance forward and play aggressively, backed up by an enhanced serving game.
He came back from a deficit in the initial set against the challenging Moutet, securing 4 of the concluding five exchanges to gain the advantage.
The competitors traded break points in the following set before the challenger, bidding for his first ATP Tour victory, gained dominance to force a decider.
Moutet defended 4 initial chances in a tight third set before the champion broke to fifteen to close out the victory.
Appropriately, the winner earned the win with a rally at the net, with his opponent incapable to control a shot after a lengthy match.