Nineteen of Medvedev's twenty-one titles have been won on hardcourt
A comeback the Russian player secured his initial title for nearly 30 months with a win over opponent Moutet in the Almaty Open championship match.
Medvedev, a ex- number one, has endured a challenging year, winning just a single victory at the major tournaments and suffering a difficult moment at the New York tournament.
The player's varied form on the tennis tour - and difficulties with his service game in particular - led to him exiting of the elite rankings and eventually separating with long-time trainer his previous coach.
Currently working with Johansson and Rohan Goetzke, the tennis star has steadily advanced in the recent weeks - peaking in a tightly fought three-set victory over opponent Corentin Moutet.
It is Medvedev's initial title since the Rome competition and maiden on a hard court after March of that year.
The win also indicates the Russian has won twenty-one victories at 21 distinct events.
"This marks the first occasion I have attended a competition with my two daughters at once, so to secure a championship is really nice," stated ranked player Daniil Medvedev.
"This victory is in dedication of my younger daughter Victoria, because the maiden victory I got when my child my daughter was delivered was for her."
Medvedev, the former major winner, had lost his past six title deciders, comprising in that event earlier this year.
Medvedev's counter-punching strategy and recurring emotional displays on court had prompted commentators to wonder if his ability to perform at the elite level was over.
However the athlete has altered his approach in the past month, attempting to advance forward and perform aggressively, backed up by an improved serve.
Medvedev came back from a break down in the initial set against the tricky Frenchman, taking four of the last five exchanges to go ahead.
Both players traded break points in the second set before the Frenchman, striving for his first tour championship, took control to create a third set.
The opponent saved 4 initial break points in a close third set before the Russian secured a break to fifteen to close out the victory.
Fittingly, Medvedev clinched the win with a rally at the net, with the Frenchman failing to manage a return after two hours and 38 minutes.