Nineteen of Medvedev's twenty-one titles have been won on hard courts
A comeback Medvedev claimed his first title for 882 days with victory over opponent Moutet in the competition final.
The athlete, a former world number one, has had a torrid period, winning just a single victory at the major tournaments and undergoing a difficult moment at the New York tournament.
The player's varied form on the ATP Tour - and struggles with his serving in particular - resulted in him falling of the top ten and finally splitting with long-term coach Gilles Cervara.
Presently collaborating with Johansson and his other coach, Medvedev has steadily progressed in the last few weeks - peaking in a hard-fought three-set win over opponent Moutet.
It is the player's initial championship since the 2023 Rome Masters and first on a hardcourt since that period of the previous year.
Success also means he has won twenty-one titles at twenty-one distinct tournaments.
"This marks the first occasion I'm at a event with my both daughters together, so to get a title is especially meaningful," stated world number 14 Daniil Medvedev.
"This championship is in tribute of my second daughter her name, because the first title I won when my first daughter Alisa was born was for her."
Medvedev, the former major winner, had failed in his last six championship matches, featuring in Halle in the past months.
Medvedev's counter-punching strategy and frequent outbursts on court had led observers to doubt if his ability to perform at the elite level was over.
Yet the athlete has implemented adjustments in the last few weeks, striving to approach the net and compete aggressively, backed up by an better serving game.
The champion recovered from a deficit in the first set against the difficult Frenchman, securing 4 of the final five exchanges to go ahead.
The competitors swapped service breaks in the second set before Moutet, striving for his maiden tour title, took control to create a final set.
He saved 4 initial opportunities in a tight third set before Medvedev won the break to fifteen to close out the victory.
Fittingly, Medvedev secured the win with a shot at the front of the court, with his opponent incapable to manage a volley after over two and a half hours.