19 of the Russian's 21 titles have been won on hard courts
A resurgent the Russian player secured his first championship for 882 days with success over Frenchman Moutet in the tournament final.
The athlete, a ex- number one, has endured a torrid season, managing just a single victory at the big events and experiencing a difficult moment at the US Open.
His varied form on the professional circuit - and issues with his serving in particular - caused him exiting of the world's top 10 and ultimately splitting with former coach his previous coach.
Currently working with his coach and Goetzke, he has steadily advanced in the last few weeks - peaking in a tightly fought 7-5 4-6 6-3 win over challenger Moutet.
This marks Medvedev's maiden title after the Rome competition and first on a hardcourt since that period of that year.
Victory also means the Russian has won 21 titles at 21 various tournaments.
"For the first time I have attended a tournament with my children simultaneously, so to win a championship is especially meaningful," stated world number 14 Medvedev.
"This title is in tribute of my younger daughter her name, because the initial championship I won when my child my daughter was born was for her."
Medvedev, the former major winner, had lost his last six title deciders, including in Halle previously this season.
His retrieving strategy and recurring emotional displays on the playing surface had led commentators to wonder if his skill to play at the top level was over.
However the athlete has altered his approach in the last few weeks, attempting to come to the net and compete aggressively, backed up by an better serving game.
Medvedev fought back from a deficit in the initial set against the difficult Frenchman, winning 4 of the final five exchanges to take the lead.
The pair exchanged service breaks in the middle set before the challenger, bidding for his first ATP Tour championship, gained dominance to force a third set.
He rescued four early chances in a tight third set before the champion secured a break to fifteen to close out the victory.
Suitably, he earned the win with a shot at the net area, with Moutet incapable to manage a return after a lengthy match.