Nineteen of the Russian's twenty-one victories have been won on hardcourt
A resurgent the Russian player secured his initial title for nearly 30 months with success over opponent Moutet in the competition title decider.
Medvedev, a ex- world number one, has endured a challenging season, managing just one win at the big events and undergoing a difficult moment at the New York tournament.
His unpredictability on the tennis tour - and difficulties with his serve in particular - resulted in him dropping out of the top ten and ultimately splitting with long-term trainer his previous coach.
Currently training with Johansson and Rohan Goetzke, the tennis star has consistently advanced in the last few weeks - peaking in a closely contested three-set win over Frenchman Moutet.
This represents his initial trophy after the Rome competition and initial on a hardcourt since spring of that year.
The win also means the Russian has won 21 championships at twenty-one distinct events.
"For the first time I am participating in a competition with my both daughters at once, so to get a title is especially meaningful," said tennis professional the champion.
"This championship is in honour of my second daughter her name, because the maiden victory I achieved when my older daughter her name was born was for her."
The tennis star, the 2021 US Open champion, had failed in his last six finals, including in Halle previously this season.
Medvedev's retrieving approach and frequent outbursts on the playing surface had prompted some to doubt if his capacity to compete at the elite level was concluded.
Yet the 29-year-old has altered his approach in the last few weeks, making an effort to come to the net and perform assertively, backed up by an improved serve.
The champion recovered from a disadvantage in the first set against the difficult Frenchman, winning 4 of the last five games to gain the advantage.
The competitors traded break points in the second set before the challenger, attempting for his initial ATP Tour victory, gained dominance to create a decider.
He saved 4 early opportunities in a tight final set before the Russian won the break to that score to secure the win.
Suitably, the winner earned the title with a shot at the front of the court, with the Frenchman unable to handle a volley after a lengthy match.