Nineteen of the Russian's twenty-one championships have been won on hardcourt
A revitalized Medvedev claimed his maiden championship for 882 days with victory over opponent Moutet in the tournament title decider.
The athlete, a former number one, has had a difficult year, managing just one match at the big events and experiencing a meltdown at the American major.
Medvedev's inconsistency on the professional circuit - and struggles with his serving in specific - resulted in him dropping out of the top ten and eventually parting ways with long-term mentor his previous coach.
Presently training with Thomas Johansson and Goetzke, the tennis star has consistently advanced in the past month - peaking in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
It is Medvedev's maiden championship since the Italian tournament and maiden on a hard surface from that period of that year.
Success also indicates the Russian has achieved twenty-one victories at 21 different competitions.
"For the first time I am participating in a competition with my two daughters at once, so to get a trophy is particularly special," said ranked player Medvedev.
"This victory is in tribute of my second daughter Victoria, because the initial championship I achieved when my child Alisa was born was for her."
Medvedev, the former major winner, had been defeated in his previous six championship matches, featuring in that event in the past months.
Medvedev's defensive approach and regular emotional displays on the playing surface had prompted observers to wonder if his capacity to perform at the top level was over.
However the player has altered his approach in the past month, making an effort to advance forward and perform assertively, reinforced by an better service.
He came back from a deficit in the initial set against the challenging opponent, securing 4 of the final five exchanges to go ahead.
The competitors swapped service breaks in the middle set before the challenger, bidding for his initial professional victory, seized the initiative to push for a third set.
The opponent saved 4 early break points in a competitive third set before the champion broke to fifteen to close out the victory.
Fittingly, the winner secured victory with a point at the net area, with Moutet failing to control a shot after two hours and 38 minutes.