Nineteen of Medvedev's 21 championships have been achieved on hard courts
A resurgent the Russian player secured his initial championship for nearly 30 months with a win over Frenchman Moutet in the competition final.
Medvedev, a former world number one, has experienced a challenging year, managing just one match at the major tournaments and undergoing a difficult moment at the American major.
The player's unpredictability on the professional circuit - and struggles with his serve in especial - resulted in him exiting of the elite rankings and finally separating with long-term trainer Cervara.
Presently collaborating with Thomas Johansson and his other coach, Medvedev has steadily advanced in the past month - climaxing in a closely contested three-set triumph over opponent Corentin Moutet.
This represents the player's first championship after the 2023 Rome Masters and initial on a hardcourt after spring of that year.
Victory also indicates he has won twenty-one titles at twenty-one distinct competitions.
"For the first time I have attended a competition with my children at once, so to secure a championship is particularly special," commented tennis professional Daniil Medvedev.
"This title is in honour of my second daughter Victoria, because the first title I got when my first daughter my daughter was born was for her."
The athlete, the past champion, had failed in his last six finals, comprising in Halle earlier this year.
The player's retrieving strategy and frequent outbursts on the tennis court had led some to question if his capacity to perform at the highest level was over.
Yet the player has made changes in the last few weeks, making an effort to advance forward and compete positively, backed up by an enhanced serve.
Medvedev fought back from a break down in the initial set against the tricky Moutet, winning 4 of the last five exchanges to take the lead.
The pair swapped service breaks in the following set before Moutet, bidding for his initial tour championship, gained dominance to push for a third set.
Moutet saved four early opportunities in a close deciding set before the Russian secured a break to that score to close out the victory.
Fittingly, Medvedev clinched victory with a shot at the front of the court, with Moutet incapable to manage a return after two hours and 38 minutes.