Nineteen of the Russian's twenty-one championships have been earned on hard surfaces
A resurgent Medvedev won his maiden title for nearly 30 months with victory over Frenchman Moutet in the Almaty Open championship match.
The athlete, a former world number one, has endured a challenging year, achieving just one match at the Grand Slams and experiencing a difficult moment at the New York tournament.
The player's unpredictability on the ATP Tour - and issues with his serving in specific - caused him exiting of the world's top 10 and finally parting ways with long-time trainer his previous coach.
Currently working with Thomas Johansson and Goetzke, Medvedev has consistently advanced in the last few weeks - climaxing in a hard-fought 7-5 4-6 6-3 victory over Frenchman Corentin Moutet.
This represents Medvedev's initial title after the 2023 Rome Masters and maiden on a hard surface from spring of the previous year.
Success also signifies Medvedev has won twenty-one victories at twenty-one various tournaments.
"This marks the first occasion I'm at a competition with my two daughters simultaneously, so to win a title is really nice," said ranked player the champion.
"This title is in honour of my child Victoria, because the first title I achieved when my child her name was born was for her."
The athlete, the former major winner, had failed in his last six championship matches, comprising in Halle previously this season.
Medvedev's counter-punching play style and recurring outbursts on court had led some to doubt if his ability to compete at the highest level was finished.
However the 29-year-old has made changes in the past month, making an effort to come to the net and play positively, supported by an enhanced serving game.
He recovered from a deficit in the opening set against the difficult Frenchman, taking 4 of the last five games to gain the advantage.
Both players traded breaks in the second set before the Frenchman, striving for his maiden professional championship, took control to force a decider.
He saved 4 early break points in a close final set before Medvedev secured a break to 15 to secure the win.
Appropriately, he clinched the win with a shot at the net area, with his opponent incapable to handle a shot after a lengthy match.
