Nineteen of the Russian's 21 titles have been achieved on hard surfaces
A revitalized Medvedev claimed his first trophy for nearly 30 months with success over Frenchman Moutet in the tournament championship match.
The athlete, a ex- number one, has had a challenging period, achieving just one win at the major tournaments and undergoing a setback at the New York tournament.
Medvedev's inconsistency on the professional circuit - and difficulties with his service game in specific - resulted in him falling of the top ten and ultimately splitting with long-term coach his previous coach.
Presently training with Johansson and his other coach, Medvedev has gradually advanced in the recent weeks - peaking in a closely contested 7-5 4-6 6-3 victory over opponent Moutet.
It is his maiden championship after the 2023 Rome Masters and maiden on a hard court since spring of 2023.
Success also means he has achieved 21 championships at 21 various tournaments.
"For the first time I am participating in a event with my children at once, so to get a championship is especially meaningful," said tennis professional Medvedev.
"This title is in tribute of my younger daughter Victoria, because the first title I won when my child her name was delivered was for her."
The athlete, the 2021 US Open champion, had failed in his previous six finals, featuring in Halle in the past months.
The player's counter-punching play style and recurring reactions on the playing surface had prompted commentators to doubt if his skill to perform at the elite level was concluded.
Yet the athlete has implemented adjustments in recent weeks, striving to come to the net and perform aggressively, backed up by an better service.
Medvedev fought back from a disadvantage in the first set against the challenging Frenchman, winning 4 of the final five games to go ahead.
The pair exchanged break points in the following set before the challenger, bidding for his initial tour title, gained dominance to create a final set.
The opponent defended 4 early-game break points in a competitive third set before the champion broke to 15 to serve for the match.
Suitably, he earned victory with a rally at the front of the court, with his opponent incapable to handle a volley after two hours and 38 minutes.