19 of Medvedev's 21 titles have been achieved on hardcourt
A revitalized the Russian player claimed his initial title for 882 days with success over opponent Moutet in the tournament final.
The athlete, a former top-ranked player, has experienced a difficult period, achieving just one win at the major tournaments and experiencing a setback at the New York tournament.
His varied form on the tennis tour - and issues with his serving in particular - resulted in him falling of the world's top 10 and finally splitting with long-term trainer his previous coach.
Now training with his coach and Goetzke, Medvedev has gradually advanced in the last few weeks - peaking in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
This represents his maiden trophy after the Italian tournament and initial on a hard court from spring of the previous year.
Victory also signifies the Russian has achieved twenty-one championships at twenty-one various competitions.
"This marks the first occasion I am participating in a tournament with my children simultaneously, so to win a title is particularly special," stated ranked player Medvedev.
"This victory is in tribute of my younger daughter her name, because the first title I got when my child my daughter was born was for her."
The athlete, the past champion, had lost his previous six finals, including in the German tournament in the past months.
His counter-punching strategy and frequent emotional displays on the playing surface had caused observers to doubt if his ability to play at the elite level was over.
But the athlete has implemented adjustments in the last few weeks, attempting to advance forward and play assertively, supported by an better serve.
He fought back from a break down in the initial set against the challenging Frenchman, winning four of the concluding five points to go ahead.
Both players traded break points in the second set before Moutet, bidding for his first ATP Tour victory, took control to force a final set.
The opponent saved four initial chances in a competitive deciding set before Medvedev won the break to fifteen to secure the win.
Suitably, Medvedev clinched the win with a rally at the net area, with Moutet unable to manage a return after two hours and 38 minutes.