19 of the Russian's 21 victories have been earned on hard surfaces
A resurgent the Russian player won his initial trophy for over two years with victory over Frenchman Moutet in the Almaty Open final.
The Russian, a former top-ranked player, has had a torrid year, winning just a single victory at the Grand Slams and suffering a difficult moment at the New York tournament.
Medvedev's unpredictability on the professional circuit - and issues with his service game in specific - resulted in him falling of the world's top 10 and ultimately splitting with long-time coach Gilles Cervara.
Now training with his coach and Goetzke, he has consistently progressed in the past month - climaxing in a tightly fought three-set victory over challenger Moutet.
It is Medvedev's first championship since the Italian tournament and initial on a hardcourt from March of the previous year.
The win also signifies he has secured twenty-one victories at 21 different events.
"For the first time I have attended a tournament with my both daughters simultaneously, so to secure a championship is really nice," commented tennis professional the champion.
"This championship is in dedication of my younger daughter her name, because the first title I got when my first daughter my daughter was born was for her."
The tennis star, the former major winner, had failed in his previous six title deciders, comprising in Halle earlier this year.
The player's counter-punching strategy and frequent outbursts on the tennis court had prompted observers to wonder if his capacity to play at the top level was concluded.
But the 29-year-old has altered his approach in recent weeks, striving to come to the net and play assertively, backed up by an better service.
Medvedev came back from a deficit in the first set against the tricky Moutet, winning 4 of the last five points to gain the advantage.
Both players exchanged break points in the second set before Moutet, attempting for his maiden tour title, gained dominance to force a third set.
The opponent rescued four early break points in a tight final set before Medvedev broke to 15 to secure the win.
Suitably, Medvedev clinched the win with a point at the net area, with his opponent failing to handle a return after over two and a half hours.