19 of the Russian's twenty-one championships have been achieved on hardcourt
A resurgent the Russian player claimed his initial championship for 882 days with victory over opponent Moutet in the competition final.
Medvedev, a former world number one, has had a challenging period, winning just a single victory at the big events and suffering a difficult moment at the American major.
The player's unpredictability on the professional circuit - and issues with his serving in particular - caused him exiting of the top ten and ultimately separating with former mentor his previous coach.
Currently working with Johansson and his other coach, the tennis star has steadily advanced in the last few weeks - culminating in a tightly fought competitive triumph over opponent Moutet.
This marks the player's initial championship after the Italian tournament and initial on a hardcourt from that period of the previous year.
Victory also signifies the Russian has secured twenty-one championships at 21 different competitions.
"For the first time I am participating in a event with my two daughters at once, so to secure a trophy is especially meaningful," stated ranked player Medvedev.
"This title is in tribute of my younger daughter Victoria, because the maiden victory I achieved when my first daughter Alisa was born was for her."
Medvedev, the past champion, had failed in his previous six championship matches, comprising in Halle previously this season.
Medvedev's counter-punching approach and regular emotional displays on the tennis court had led some to wonder if his capacity to play at the top level was concluded.
However the athlete has made changes in recent weeks, attempting to approach the net and play assertively, supported by an better service.
Medvedev fought back from a deficit in the first set against the challenging Frenchman, winning 4 of the final five points to take the lead.
The pair exchanged break points in the following set before the challenger, striving for his first ATP Tour championship, seized the initiative to force a final set.
The opponent saved four initial chances in a close deciding set before Medvedev secured a break to fifteen to secure the win.
Appropriately, Medvedev secured the title with a rally at the front of the court, with the Frenchman incapable to manage a return after a lengthy match.