Nineteen of Medvedev's twenty-one titles have been achieved on hardcourt
A comeback the Russian player claimed his maiden trophy for nearly 30 months with a win over Frenchman Moutet in the Almaty Open title decider.
The Russian, a ex- number one, has experienced a torrid year, achieving just a single victory at the major tournaments and experiencing a setback at the New York tournament.
His inconsistency on the tennis tour - and issues with his service game in specific - led to him falling of the top ten and finally separating with former mentor Cervara.
Currently collaborating with his coach and Goetzke, the tennis star has gradually advanced in the recent weeks - peaking in a closely contested 7-5 4-6 6-3 triumph over Frenchman 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.
Victory also indicates he has achieved 21 titles at 21 various events.
"It's the first time I am participating in a event with my two daughters simultaneously, so to get a championship is particularly special," stated tennis professional the champion.
"This championship is in honour of my second daughter my daughter, because the first title I got when my child her name was delivered was for her."
Medvedev, the 2021 US Open champion, had failed in his last six finals, comprising in the German tournament in the past months.
His counter-punching approach and frequent emotional displays on court had prompted commentators to wonder if his ability to play at the elite level was finished.
Yet the 29-year-old has made changes in the last few weeks, striving to advance forward and perform aggressively, supported by an better serving game.
He recovered from a break down in the initial set against the difficult opponent, taking four of the concluding five exchanges to take the lead.
The competitors swapped breaks in the middle set before Moutet, striving for his first professional championship, gained dominance to push for a final set.
Moutet saved four initial break points in a close final set before the champion won the break to fifteen to close out the victory.
Suitably, Medvedev earned the win with a shot at the net, with the Frenchman failing to handle a volley after over two and a half hours.