Nineteen of Medvedev's twenty-one championships have been won on hardcourt
A comeback Medvedev won his initial trophy for over two years with victory over opponent Moutet in the competition championship match.
Medvedev, a former top-ranked player, has endured a torrid season, achieving just one win at the major tournaments and experiencing a setback at the New York tournament.
The player's varied form on the ATP Tour - and difficulties with his service game in particular - resulted in him exiting of the top ten and ultimately separating with long-time mentor his previous coach.
Now training with Thomas Johansson and Goetzke, he has steadily progressed in the past month - peaking in a tightly fought competitive triumph over Frenchman Moutet.
This represents the player's initial championship since the Italian tournament and initial on a hard court from that period of the previous year.
Victory also indicates he has achieved 21 titles at twenty-one different tournaments.
"For the first time I am participating in a competition with my both daughters at once, so to get a championship is especially meaningful," commented ranked player the champion.
"This championship is in tribute of my child Victoria, because the initial championship I achieved when my first daughter her name was born was for her."
Medvedev, the past champion, had been defeated in his last six championship matches, featuring in Halle earlier this year.
The player's retrieving strategy and recurring reactions on the tennis court had prompted commentators to wonder if his capacity to compete at the highest level was finished.
Yet the player has altered his approach in the last few weeks, making an effort to come to the net and perform aggressively, backed up by an enhanced serving game.
Medvedev recovered from a deficit in the first set against the tricky opponent, winning 4 of the concluding five games to gain the advantage.
The competitors exchanged break points in the middle set before the challenger, striving for his first ATP Tour title, took control to push for a third set.
The opponent defended four early-game chances in a close deciding set before Medvedev won the break to that score to secure the win.
Fittingly, the winner secured the title with a rally at the front of the court, with the Frenchman unable to handle a shot after a lengthy match.