Nineteen of Medvedev's twenty-one titles have been won on hard courts
A resurgent the Russian player secured his initial title for 882 days with success over opponent Moutet in the tournament final.
Medvedev, a ex- world number one, has had a torrid period, winning just a single victory at the big events and undergoing a difficult moment at the New York tournament.
His unpredictability on the ATP Tour - and struggles with his serving in especial - caused him exiting of the top ten and ultimately separating with long-term mentor Gilles Cervara.
Now working with Johansson and Goetzke, he has consistently advanced in the recent weeks - climaxing in a tightly fought competitive win over challenger Moutet.
This represents Medvedev's first championship after the Rome competition and initial on a hard surface after March of 2023.
Success also signifies he has secured twenty-one victories at 21 distinct competitions.
"For the first time I have attended a event with my both daughters together, so to secure a championship is especially meaningful," said tennis professional the champion.
"This victory is in tribute of my second daughter my daughter, because the maiden victory I achieved when my first daughter my daughter was born was for her."
The tennis star, the 2021 US Open champion, had failed in his previous six finals, comprising in that event previously this season.
The player's counter-punching play style and recurring reactions on the playing surface had prompted commentators to wonder if his ability to play at the highest level was over.
However the athlete has implemented adjustments in the last few weeks, striving to come to the net and play positively, supported by an better serve.
The champion recovered from a disadvantage in the initial set against the tricky Frenchman, taking four of the final five exchanges to take the lead.
The competitors exchanged break points in the following set before Moutet, attempting for his first ATP Tour championship, seized the initiative to push for a third set.
Moutet rescued four early break points in a tight final set before Medvedev broke to that score to close out the victory.
Suitably, the winner secured victory with a rally at the front of the court, with the Frenchman failing to manage a volley after over two and a half hours.
