Nineteen of the Russian's 21 championships have been earned on hard surfaces
A revitalized Medvedev claimed his first trophy for nearly 30 months with success over opponent Moutet in the tournament championship match.
The athlete, a former world number one, has endured a challenging season, managing just one match at the Grand Slams and undergoing a meltdown at the New York tournament.
Medvedev's inconsistency on the ATP Tour - and difficulties with his serve in especial - led to him exiting of the top ten and eventually splitting with former mentor his previous coach.
Currently working with Johansson and Goetzke, Medvedev has steadily improved in the last few weeks - culminating in a tightly fought 7-5 4-6 6-3 triumph over opponent Moutet.
This represents his first trophy since the Rome competition and initial on a hardcourt after spring of that year.
Success also means he has secured 21 titles at 21 various events.
"This marks the first occasion I am participating in a competition with my children at once, so to win a trophy is particularly special," said tennis professional the champion.
"This championship is in dedication of my younger daughter my daughter, because the first title I achieved when my child Alisa was born was for her."
The athlete, the former major winner, had failed in his past six championship matches, featuring in the German tournament previously this season.
His counter-punching approach and regular emotional displays on court had caused observers to question if his ability to play at the highest level was concluded.
Yet the 29-year-old has implemented adjustments in the past month, making an effort to come to the net and perform aggressively, backed up by an better serving game.
He recovered from a deficit in the opening set against the tricky Frenchman, taking four of the last five exchanges to take the lead.
Both players swapped breaks in the middle set before Moutet, bidding for his maiden tour victory, took control to create a third set.
Moutet saved 4 early chances in a close deciding set before the champion won the break to fifteen to serve for the match.
Fittingly, Medvedev earned the title with a rally at the front of the court, with the Frenchman incapable to manage a shot after two hours and 38 minutes.
