Nineteen of Medvedev's twenty-one titles have been achieved on hard courts
A comeback the Russian player secured his first trophy for nearly 30 months with a win over Frenchman Moutet in the Almaty Open championship match.
Medvedev, a former world number one, has had a torrid season, achieving just a single victory at the big events and experiencing a difficult moment at the New York tournament.
His inconsistency on the tennis tour - and difficulties with his service game in particular - led to him exiting of the world's top 10 and ultimately parting ways with long-term coach Gilles Cervara.
Presently collaborating with Johansson and Goetzke, Medvedev has steadily advanced in the recent weeks - climaxing in a closely contested 7-5 4-6 6-3 win over opponent Moutet.
It is Medvedev's initial title since the Italian tournament and first on a hard court from spring of the previous year.
Success also means the Russian has won twenty-one victories at twenty-one various events.
"This marks the first occasion I have attended a event with my two daughters at once, so to win a trophy is really nice," stated ranked player the champion.
"This championship is in tribute of my younger daughter her name, because the initial championship I achieved when my first daughter her name was born was for her."
The athlete, the former major winner, had failed in his previous six championship matches, including in Halle in the past months.
The player's defensive approach and recurring emotional displays on court had led some to wonder if his skill to perform at the highest level was finished.
But the player has altered his approach in the last few weeks, making an effort to come to the net and compete aggressively, reinforced by an better service.
Medvedev recovered from a deficit in the first set against the difficult opponent, winning four of the last five exchanges to take the lead.
The pair swapped breaks in the middle set before the challenger, bidding for his initial ATP Tour championship, seized the initiative to force a third set.
The opponent defended four early-game break points in a tight deciding set before the Russian broke to 15 to close out the victory.
Appropriately, he earned victory with a point at the net area, with his opponent incapable to handle a shot after two hours and 38 minutes.
