Nineteen of the Russian's 21 championships have been won on hard surfaces
A comeback the Russian player secured his first trophy for 882 days with success over Frenchman Moutet in the tournament final.
The athlete, a ex- world number one, has endured a torrid period, winning just one win at the Grand Slams and suffering a setback at the New York tournament.
Medvedev's inconsistency on the ATP Tour - and issues with his service game in specific - led to him dropping out of the world's top 10 and eventually parting ways with former mentor his previous coach.
Currently collaborating with his coach and his other coach, Medvedev has consistently improved in the past month - peaking in a tightly fought 7-5 4-6 6-3 win over Frenchman Moutet.
This represents the player's first trophy after the Italian tournament and initial on a hardcourt since spring of that year.
The win also signifies Medvedev has secured twenty-one titles at twenty-one different tournaments.
"This marks the first occasion I have attended a competition with my two daughters at once, so to secure a trophy is especially meaningful," stated tennis professional the champion.
"This championship is in honour of my second daughter her name, because the maiden victory I achieved when my older daughter her name was born was for her."
Medvedev, the former major winner, had been defeated in his last six championship matches, comprising in the German tournament in the past months.
Medvedev's defensive strategy and recurring reactions on the tennis court had led observers to wonder if his ability to play at the elite level was concluded.
Yet the athlete has made changes in recent weeks, attempting to come to the net and play assertively, reinforced by an improved serving game.
The champion came back from a disadvantage in the initial set against the difficult Frenchman, winning 4 of the concluding five exchanges to take the lead.
The competitors swapped breaks in the following set before the Frenchman, bidding for his initial tour victory, took control to force a decider.
Moutet defended four early opportunities in a close final set before Medvedev broke to 15 to close out the victory.
Suitably, he secured the win with a point at the net, with the Frenchman incapable to control a volley after a lengthy match.