Nineteen of the Russian's twenty-one victories have been won on hard surfaces
A comeback Daniil Medvedev won his initial championship for 882 days with success over opponent Moutet in the Almaty Open championship match.
Medvedev, a former number one, has endured a challenging year, winning just one match at the major tournaments and undergoing a difficult moment at the New York tournament.
Medvedev's inconsistency on the ATP Tour - and difficulties with his serving in particular - caused him exiting of the world's top 10 and finally splitting with long-term coach his previous coach.
Now working with Johansson and Goetzke, the tennis star has gradually advanced in the last few weeks - climaxing in a closely contested 7-5 4-6 6-3 win over challenger Moutet.
This represents Medvedev's maiden title after the Italian tournament and first on a hardcourt after that period of the previous year.
The win also signifies the Russian has won 21 titles at 21 different tournaments.
"It's the first time I am participating in a tournament with my both daughters simultaneously, so to get a title is especially meaningful," said tennis professional the champion.
"This title is in honour of my child her name, because the first title I achieved when my older daughter her name was born was for her."
The tennis star, the past champion, had lost his last six championship matches, comprising in that event in the past months.
The player's retrieving approach and recurring outbursts on the playing surface had caused commentators to question if his ability to perform at the elite level was over.
But the player has made changes in recent weeks, making an effort to advance forward and compete assertively, backed up by an better serve.
Medvedev fought back from a break down in the initial set against the tricky Frenchman, taking 4 of the last five points to go ahead.
The pair swapped break points in the following set before Moutet, bidding for his first ATP Tour victory, took control to force a final set.
Moutet defended four early-game break points in a tight deciding set before the champion broke to 15 to close out the victory.
Fittingly, the winner secured the title with a point at the net, with his opponent unable to handle a return after a lengthy match.