Nineteen of the Russian's twenty-one victories have been earned on hard surfaces
A comeback the Russian player secured his first trophy for nearly 30 months with success over opponent Moutet in the Almaty Open championship match.
The Russian, a former number one, has had a torrid period, managing just one win at the major tournaments and suffering a meltdown at the US Open.
Medvedev's inconsistency on the tennis tour - and struggles with his serving in specific - caused him falling of the top ten and finally parting ways with former trainer his previous coach.
Presently working with Johansson and Rohan Goetzke, the tennis star has gradually improved in the last few weeks - climaxing in a hard-fought three-set win over opponent Moutet.
This represents his initial championship following the 2023 Rome Masters and initial on a hard court since March of that year.
The win also means he has won 21 championships at 21 distinct tournaments.
"This marks the first occasion I'm at a competition with my children simultaneously, so to secure a title is really nice," stated ranked player Daniil Medvedev.
"This victory is in honour of my child her name, because the first title I achieved when my first daughter my daughter was born was for her."
Medvedev, the former major winner, had lost his past six championship matches, featuring in Halle previously this season.
Medvedev's retrieving approach and regular reactions on the playing surface had prompted commentators to wonder if his skill to perform at the top level was over.
Yet the athlete has made changes in the last few weeks, attempting to approach the net and compete assertively, supported by an improved serving game.
Medvedev recovered from a break down in the opening set against the difficult Moutet, securing 4 of the final five points to gain the advantage.
The pair traded breaks in the second set before the challenger, attempting for his initial ATP Tour victory, gained dominance to force a final set.
The opponent rescued four early-game chances in a close third set before the champion secured a break to fifteen to serve for the match.
Appropriately, Medvedev earned the title with a rally at the net, with the Frenchman failing to handle a shot after a lengthy match.