Nineteen of the Russian's 21 victories have been won on hard surfaces
A comeback the Russian player won his initial title for over two years with victory over opponent Moutet in the Almaty Open title decider.
The athlete, a former world number one, has had a difficult period, managing just one match at the major tournaments and experiencing a difficult moment at the US Open.
Medvedev's inconsistency on the professional circuit - and issues with his serving in particular - resulted in him exiting of the world's top 10 and eventually splitting with long-term mentor Cervara.
Presently collaborating with his coach and Goetzke, the tennis star has gradually progressed in the last few weeks - climaxing in a hard-fought 7-5 4-6 6-3 victory over Frenchman Moutet.
This marks the player's first championship since the Rome competition and initial on a hardcourt since that period of 2023.
Victory also indicates Medvedev has secured twenty-one championships at twenty-one various competitions.
"For the first time I'm at a event with my both daughters together, so to win a trophy is really nice," stated ranked player Medvedev.
"This title is in dedication of my child my daughter, because the maiden victory I won when my older daughter her name was delivered was for her."
The tennis star, the 2021 US Open champion, had failed in his past six finals, including in that event earlier this year.
His retrieving strategy and recurring reactions on the playing surface had prompted some to doubt if his capacity to perform at the highest level was concluded.
However the athlete has altered his approach in recent weeks, attempting to advance forward and play aggressively, supported by an improved service.
Medvedev recovered from a break down in the opening set against the tricky opponent, winning 4 of the final five exchanges to gain the advantage.
The competitors swapped break points in the second set before the Frenchman, attempting for his initial ATP Tour championship, took control to force a third set.
He saved 4 early break points in a close third set before Medvedev broke to 15 to serve for the match.
Fittingly, the winner clinched the win with a rally at the front of the court, with his opponent failing to manage a shot after two hours and 38 minutes.