Nineteen of the Russian's twenty-one victories have been achieved on hard surfaces
A revitalized Medvedev claimed his initial trophy for 882 days with victory over Frenchman Moutet in the Almaty Open title decider.
The athlete, a former world number one, has experienced a challenging season, managing just one match at the major tournaments and experiencing a difficult moment at the American major.
Medvedev's varied form on the professional circuit - and difficulties with his service game in specific - caused him falling of the world's top 10 and eventually parting ways with long-term mentor Gilles Cervara.
Currently collaborating with Johansson and his other coach, he has steadily improved in the recent weeks - climaxing in a hard-fought three-set win over Frenchman Moutet.
It is the player's initial title after the Italian tournament and initial on a hardcourt from spring of that year.
Success also signifies Medvedev has secured 21 titles at 21 different competitions.
"For the first time I have attended a event with my two daughters simultaneously, so to win a trophy is particularly special," said tennis professional Daniil Medvedev.
"This title is in tribute of my second daughter Victoria, 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 previous six finals, including in the German tournament earlier this year.
Medvedev's retrieving strategy and regular reactions on court had led commentators to question if his capacity to compete at the top level was finished.
However the 29-year-old has made changes in the past month, making an effort to advance forward and play aggressively, backed up by an improved serving game.
The champion fought back from a disadvantage in the initial set against the tricky opponent, securing four of the final five exchanges to go ahead.
The competitors traded break points in the following set before Moutet, attempting for his first ATP Tour championship, seized the initiative to force a final set.
He saved four initial break points in a competitive deciding set before the champion broke to 15 to serve for the match.
Suitably, Medvedev secured the win with a point at the net, with the Frenchman failing to control a return after two hours and 38 minutes.