Nineteen of Medvedev's twenty-one titles have been won on hard courts
A revitalized Medvedev claimed his maiden trophy for over two years with victory over opponent Moutet in the competition title decider.
The athlete, a former number one, has experienced a challenging season, winning just one win at the Grand Slams and experiencing a setback at the New York tournament.
The player's varied form on the ATP Tour - and issues with his serving in particular - led to him exiting of the elite rankings and eventually splitting with long-time trainer his previous coach.
Now training with his coach and Rohan Goetzke, the tennis star has consistently progressed in the last few weeks - culminating in a hard-fought competitive victory over challenger Moutet.
This represents the player's initial championship after the Italian tournament and initial on a hardcourt from March of the previous year.
Success also signifies Medvedev has won 21 championships at twenty-one different events.
"For the first time I have attended a competition with my both daughters together, so to get a trophy is particularly special," stated world number 14 Daniil Medvedev.
"This victory is in dedication of my second daughter my daughter, because the first title I got when my first daughter my daughter was born was for her."
The athlete, the past champion, had failed in his past six title deciders, comprising in Halle in the past months.
His counter-punching approach and frequent outbursts on the playing surface had prompted some to doubt if his skill to play at the highest level was finished.
However the athlete has altered his approach in the last few weeks, making an effort to come to the net and compete aggressively, reinforced by an enhanced serving game.
Medvedev recovered from a disadvantage in the opening set against the challenging opponent, securing four of the final five exchanges to go ahead.
The pair exchanged breaks in the second set before the Frenchman, attempting for his initial professional victory, took control to force a final set.
The opponent rescued four initial chances in a competitive final set before the Russian secured a break to 15 to secure the win.
Fittingly, Medvedev secured the win with a shot at the net, with the Frenchman unable to handle a return after two hours and 38 minutes.