19 of Medvedev's 21 championships have been won on hard courts
A comeback the Russian player secured his maiden title for over two years with success over opponent Moutet in the Almaty Open title decider.
Medvedev, a former top-ranked player, has had a torrid period, achieving just one match at the major tournaments and undergoing a setback at the American major.
The player's inconsistency on the ATP Tour - and issues with his service game in particular - caused him dropping out of the world's top 10 and ultimately separating with long-term trainer Gilles Cervara.
Presently collaborating with his coach and Goetzke, the tennis star has consistently improved in the last few weeks - climaxing in a tightly fought competitive victory over opponent Corentin Moutet.
This marks the player's maiden title since the 2023 Rome Masters and maiden on a hard surface after March of the previous year.
The win also means he has secured twenty-one titles at 21 different tournaments.
"It's the first time I have attended a competition with my both daughters at once, so to get a trophy is really nice," said tennis professional the champion.
"This title is in tribute of my younger daughter Victoria, because the initial championship I won when my first daughter my daughter was delivered was for her."
The tennis star, the past champion, had lost his last six finals, comprising in Halle in the past months.
Medvedev's defensive approach and recurring outbursts on court had led commentators to doubt if his skill to compete at the top level was finished.
But the 29-year-old has implemented adjustments in recent weeks, attempting to approach the net and perform aggressively, reinforced by an better serving game.
He came back from a break down in the initial set against the challenging Frenchman, taking 4 of the final five exchanges to go ahead.
The competitors traded breaks in the middle set before the Frenchman, striving for his first professional championship, seized the initiative to force a third set.
Moutet defended 4 early break points in a competitive third set before the Russian broke to fifteen to close out the victory.
Fittingly, he earned the title with a point at the net area, with the Frenchman incapable to control a return after a lengthy match.