Nineteen of the Russian's twenty-one victories have been earned on hardcourt
A comeback Medvedev won his initial championship for over two years with success over opponent Moutet in the tournament final.
The Russian, a former world number one, has experienced a torrid year, achieving just one match at the Grand Slams and experiencing a setback at the New York tournament.
The player's unpredictability on the ATP Tour - and struggles with his serve in specific - led to him falling of the elite rankings and ultimately parting ways with long-term mentor his previous coach.
Presently training with Thomas Johansson and his other coach, Medvedev has gradually progressed in the last few weeks - climaxing in a tightly fought three-set victory over challenger Moutet.
It is his initial championship following the Italian tournament and maiden on a hard court since spring of that year.
Success also signifies he has won twenty-one titles at twenty-one different events.
"This marks the first occasion I am participating in a competition with my two daughters simultaneously, so to secure a championship is really nice," stated ranked player Medvedev.
"This title is in dedication of my second daughter Victoria, because the first title I achieved when my first daughter my daughter was born was for her."
Medvedev, the former major winner, had been defeated in his past six finals, featuring in the German tournament in the past months.
The player's counter-punching strategy and frequent outbursts on the tennis court had prompted some to question if his capacity to perform at the highest level was concluded.
But the player has altered his approach in the past month, striving to approach the net and compete aggressively, reinforced by an improved serve.
The champion fought back from a deficit in the first set against the tricky opponent, winning four of the last five exchanges to gain the advantage.
The competitors exchanged break points in the following set before the Frenchman, attempting for his maiden ATP Tour victory, took control to push for a final set.
The opponent defended four initial opportunities in a close final set before the champion broke to 15 to serve for the match.
Suitably, the winner earned the title with a point at the front of the court, with his opponent failing to control a shot after over two and a half hours.
