19 of the Russian's 21 championships have been achieved on hard surfaces
A resurgent the Russian player claimed his first trophy for 882 days with a win over Frenchman Moutet in the competition title decider.
The athlete, a ex- world number one, has had a torrid period, managing just one match at the big events and experiencing a difficult moment at the American major.
The player's inconsistency on the ATP Tour - and issues with his service game in especial - resulted in him dropping out of the elite rankings and ultimately parting ways with long-time coach his previous coach.
Currently working with Thomas Johansson and his other coach, the tennis star has consistently progressed in the past month - climaxing in a closely contested 7-5 4-6 6-3 win over opponent Corentin Moutet.
This represents Medvedev's first championship after the 2023 Rome Masters and first on a hardcourt after that period of the previous year.
Victory also signifies Medvedev has secured twenty-one titles at 21 different tournaments.
"It's the first time I have attended a event with my two daughters together, so to get a championship is particularly special," stated world number 14 the champion.
"This title is in tribute of my second daughter my daughter, because the maiden victory I got when my older daughter Alisa was delivered was for her."
The tennis star, the 2021 US Open champion, had lost his previous six championship matches, including in that event earlier this year.
Medvedev's defensive approach and frequent emotional displays on the tennis court had caused some to wonder if his skill to compete at the top level was over.
But the 29-year-old has altered his approach in the last few weeks, attempting to come to the net and compete assertively, backed up by an better serve.
He recovered from a deficit in the opening set against the difficult Moutet, securing 4 of the concluding five games to go ahead.
The pair swapped service breaks in the following set before the challenger, attempting for his first professional victory, took control to create a third set.
He defended 4 early-game opportunities in a close deciding set before the champion broke to fifteen to serve for the match.
Suitably, he earned the win with a shot at the net area, with his opponent unable to manage a shot after two hours and 38 minutes.