Nineteen of Medvedev's 21 championships have been won on hardcourt
A revitalized Medvedev won his initial championship for 882 days with victory over opponent Moutet in the Almaty Open championship match.
The Russian, a former top-ranked player, has experienced a challenging period, winning just one match at the major tournaments and undergoing a difficult moment at the New York tournament.
Medvedev's varied form on the ATP Tour - and difficulties with his serve in specific - caused him exiting of the world's top 10 and ultimately parting ways with long-term coach his previous coach.
Now training with Johansson and his other coach, Medvedev has steadily advanced in the past month - climaxing in a tightly fought three-set triumph over opponent Corentin Moutet.
It is the player's initial championship since the 2023 Rome Masters and maiden on a hard surface from that period of that year.
The win also means he has secured twenty-one titles at 21 various competitions.
"For the first time I am participating in a competition with my two daughters simultaneously, so to secure a title is really nice," said tennis professional Medvedev.
"This championship is in honour of my child Victoria, because the first title I achieved when my first daughter her name was born was for her."
The athlete, the past champion, had failed in his previous six title deciders, featuring in that event earlier this year.
His defensive approach and regular emotional displays on the playing surface had caused some to doubt if his capacity to perform at the top level was finished.
Yet the player has altered his approach in the last few weeks, making an effort to come to the net and play aggressively, supported by an improved service.
The champion fought back from a break down in the opening set against the tricky Moutet, securing four of the final five points to gain the advantage.
Both players traded break points in the following set before Moutet, attempting for his first ATP Tour title, took control to force a third set.
Moutet rescued four initial opportunities in a tight deciding set before Medvedev broke to that score to close out the victory.
Suitably, the winner clinched the title with a point at the front of the court, with the Frenchman failing to control a return after two hours and 38 minutes.