Nineteen of Medvedev's 21 championships have been won on hardcourt
A comeback the Russian player claimed his maiden title for 882 days with a win over opponent Moutet in the tournament championship match.
Medvedev, a former top-ranked player, has experienced a challenging period, achieving just a single victory at the Grand Slams and experiencing a difficult moment at the American major.
His varied form on the ATP Tour - and issues with his serve in specific - caused him dropping out of the elite rankings and ultimately splitting with long-term trainer his previous coach.
Currently working with Johansson and Goetzke, the tennis star has consistently improved in the recent weeks - culminating in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
It is Medvedev's first title since the 2023 Rome Masters and maiden on a hard surface after that period of the previous year.
Victory also indicates he has achieved 21 victories at twenty-one distinct tournaments.
"It's the first time I am participating in a event with my two daughters together, so to win a trophy is especially meaningful," said world number 14 Daniil Medvedev.
"This victory is in honour of my child my daughter, because the initial championship I won when my first daughter her name was born was for her."
Medvedev, the former major winner, had failed in his last six championship matches, comprising in the German tournament earlier this year.
The player's retrieving approach and frequent reactions on the playing surface had caused observers to doubt if his skill to perform at the top level was finished.
However the player has made changes in the last few weeks, making an effort to approach the net and compete assertively, reinforced by an better service.
Medvedev fought back from a disadvantage in the first set against the difficult opponent, taking four of the concluding five points to gain the advantage.
Both players swapped breaks in the middle set before the challenger, bidding for his first tour title, gained dominance to push for a third set.
Moutet rescued four initial break points in a tight deciding set before the Russian broke to fifteen to secure the win.
Fittingly, he earned victory with a shot at the net area, with Moutet unable to control a return after two hours and 38 minutes.
