Nineteen of the Russian's 21 championships have been won on hardcourt
A revitalized Medvedev secured his maiden trophy for nearly 30 months with victory over opponent Moutet in the Almaty Open championship match.
The Russian, a ex- world number one, has endured a difficult period, managing just a single victory at the big events and experiencing a difficult moment at the American major.
Medvedev's inconsistency on the ATP Tour - and difficulties with his serving in specific - caused him dropping out of the world's top 10 and finally separating with long-time trainer his previous coach.
Currently collaborating with Thomas Johansson and his other coach, the tennis star has consistently progressed in the recent weeks - culminating in a closely contested competitive triumph over challenger Moutet.
This marks the player's first championship since the Italian tournament and initial on a hard surface since spring of the previous year.
The win also signifies the Russian has achieved 21 championships at twenty-one distinct tournaments.
"For the first time I am participating in a competition with my both daughters together, so to get a championship is really nice," stated world number 14 the champion.
"This title is in tribute of my second daughter her name, because the maiden victory I achieved when my first daughter Alisa was born was for her."
Medvedev, the former major winner, had failed in his past six title deciders, including in Halle in the past months.
Medvedev's defensive play style and recurring emotional displays on the tennis court had prompted commentators to wonder if his skill to compete at the highest level was concluded.
But the athlete has implemented adjustments in the last few weeks, striving to advance forward and compete assertively, backed up by an improved serving game.
He fought back from a deficit in the first set against the challenging opponent, winning four of the final five points to take the lead.
The competitors swapped breaks in the second set before the Frenchman, attempting for his maiden professional championship, took control to create a decider.
The opponent saved four initial opportunities in a competitive final set before Medvedev secured a break to that score to secure the win.
Suitably, the winner earned victory with a point at the front of the court, with Moutet failing to control a volley after over two and a half hours.
