19 of Medvedev's 21 victories have been achieved on hard courts
A revitalized the Russian player won his initial trophy for nearly 30 months with success over opponent Moutet in the Almaty Open championship match.
The athlete, a former number one, has experienced a torrid season, achieving just one match at the Grand Slams and suffering a setback at the American major.
Medvedev's inconsistency on the tennis tour - and issues with his serve in especial - led to him dropping out of the world's top 10 and eventually splitting with long-time coach Gilles Cervara.
Now collaborating with his coach and Goetzke, the tennis star has steadily improved in the recent weeks - climaxing in a hard-fought competitive victory over challenger Moutet.
This represents Medvedev's maiden trophy following the Rome competition and initial on a hard court since that period of 2023.
Success also means Medvedev has secured twenty-one championships at 21 different competitions.
"This marks the first occasion I am participating in a competition with my children at once, so to win a championship is really nice," commented ranked player Medvedev.
"This victory is in dedication of my child her name, because the first title I won when my first daughter her name was born was for her."
The athlete, the former major winner, had lost his last six finals, comprising in Halle in the past months.
Medvedev's retrieving approach and recurring outbursts on the playing surface had caused commentators to doubt if his ability to perform at the elite level was finished.
However the 29-year-old has made changes in the past month, striving to come to the net and play aggressively, reinforced by an better serve.
The champion fought back from a disadvantage in the opening set against the difficult Moutet, winning four of the final five exchanges to gain the advantage.
The competitors exchanged service breaks in the middle set before the challenger, bidding for his first ATP Tour victory, gained dominance to create a decider.
He defended 4 early-game opportunities in a tight deciding set before the Russian won the break to that score to close out the victory.
Appropriately, he secured victory with a point at the net area, with Moutet incapable to handle a shot after a lengthy match.