Nineteen of the Russian's twenty-one titles have been earned on hardcourt
A comeback Medvedev secured his maiden championship for 882 days with victory over opponent Moutet in the Almaty Open title decider.
The athlete, a former top-ranked player, has experienced a torrid season, managing just one match at the Grand Slams and suffering a meltdown at the US Open.
The player's inconsistency on the professional circuit - and issues with his serve in especial - led to him falling of the elite rankings and eventually parting ways with long-time coach Cervara.
Currently training with his coach and Goetzke, Medvedev has consistently advanced in the past month - peaking in a tightly fought 7-5 4-6 6-3 victory over opponent Moutet.
This represents his first title following the Italian tournament and first on a hard surface from spring of that year.
Victory also indicates the Russian has won 21 victories at 21 distinct competitions.
"For the first time I'm at a competition with my two daughters at once, so to secure a championship is particularly special," said world number 14 the champion.
"This title is in honour of my younger daughter my daughter, because the maiden victory I won when my first daughter Alisa was delivered was for her."
The tennis star, the former major winner, had failed in his last six finals, comprising in that event earlier this year.
The player's defensive approach and regular emotional displays on the playing surface had led commentators to question if his capacity to play at the top level was finished.
However the athlete has altered his approach in the last few weeks, attempting to advance forward and compete aggressively, reinforced by an improved serve.
He recovered from a break down in the first set against the challenging opponent, securing four of the final five exchanges to take the lead.
The competitors traded break points in the following set before Moutet, attempting for his maiden tour championship, took control to force a decider.
Moutet saved 4 initial chances in a tight final set before the Russian broke to fifteen to serve for the match.
Suitably, Medvedev earned the win with a shot at the front of the court, with the Frenchman unable to control a shot after two hours and 38 minutes.
