Nineteen of Medvedev's twenty-one championships have been won on hardcourt
A revitalized the Russian player won his first championship for over two years with a win over opponent Moutet in the Almaty Open final.
Medvedev, a ex- number one, has had a difficult season, managing just one match at the major tournaments and suffering a meltdown at the American major.
Medvedev's varied form on the ATP Tour - and difficulties with his serve in especial - resulted in him dropping out of the elite rankings and finally parting ways with long-term trainer Gilles Cervara.
Now working with Johansson and his other coach, Medvedev has consistently progressed in the past month - climaxing in a hard-fought competitive win over challenger Moutet.
This represents the player's maiden trophy after the Rome competition and first on a hard court from that period of the previous year.
Success also indicates Medvedev has achieved 21 victories at 21 distinct competitions.
"For the first time I'm at a event with my both daughters simultaneously, so to secure a championship is especially meaningful," commented world number 14 Medvedev.
"This victory is in tribute of my younger daughter her name, because the maiden victory I achieved when my first daughter Alisa was born was for her."
Medvedev, the former major winner, had been defeated in his past six championship matches, featuring in that event earlier this year.
The player's counter-punching approach and frequent emotional displays on the tennis court had prompted commentators to wonder if his capacity to compete at the highest level was concluded.
But the player has implemented adjustments in the past month, making an effort to approach the net and perform positively, reinforced by an enhanced service.
Medvedev recovered from a disadvantage in the opening set against the tricky opponent, winning 4 of the final five games to go ahead.
The competitors traded breaks in the following set before Moutet, striving for his first tour victory, gained dominance to push for a decider.
Moutet saved 4 early-game opportunities in a close deciding set before Medvedev won the break to that score to secure the win.
Suitably, the winner clinched victory with a rally at the net, with Moutet unable to manage a return after two hours and 38 minutes.
