Nineteen of Medvedev's twenty-one titles have been achieved on hard surfaces
A comeback Medvedev secured his maiden title for nearly 30 months with a win over opponent Moutet in the competition final.
Medvedev, a ex- world number one, has experienced a torrid season, achieving just one win at the major tournaments and undergoing a setback at the American major.
His unpredictability on the professional circuit - and issues with his serve in specific - led to him dropping out of the elite rankings and ultimately separating with former trainer Gilles Cervara.
Now training with Johansson and Rohan Goetzke, the tennis star has gradually advanced in the last few weeks - climaxing in a hard-fought 7-5 4-6 6-3 win over challenger Corentin Moutet.
This represents his maiden trophy since the Italian tournament and initial on a hardcourt after spring of the previous year.
The win also signifies he has secured 21 championships at 21 various tournaments.
"For the first time I'm at a event with my children together, so to secure a trophy is especially meaningful," said ranked player Medvedev.
"This victory is in honour of my child my daughter, because the initial championship I achieved when my first daughter her name was born was for her."
The athlete, the past champion, had been defeated in his past six championship matches, comprising in that event previously this season.
Medvedev's counter-punching play style and recurring reactions on the tennis court had led some to question if his capacity to compete at the highest level was concluded.
But the player has made changes in recent weeks, making an effort to come to the net and play assertively, backed up by an enhanced service.
He fought back from a disadvantage in the opening set against the difficult Frenchman, taking 4 of the final five exchanges to gain the advantage.
Both players traded breaks in the following set before the challenger, striving for his first tour victory, took control to create a third set.
The opponent defended 4 initial opportunities in a competitive third set before the champion secured a break to that score to serve for the match.
Appropriately, the winner earned the win with a point at the front of the court, with his opponent unable to handle a volley after a lengthy match.