Nineteen of the Russian's 21 titles have been won on hard courts
A resurgent Medvedev won his initial trophy for 882 days with success over opponent Moutet in the Almaty Open championship match.
The Russian, a ex- world number one, has had a challenging year, managing just a single victory at the major tournaments and experiencing a meltdown at the US Open.
The player's unpredictability on the ATP Tour - and issues with his serving in particular - caused him exiting of the top ten and ultimately parting ways with former coach Cervara.
Presently working with Thomas Johansson and Goetzke, Medvedev has gradually progressed in the last few weeks - climaxing in a closely contested three-set triumph over opponent Moutet.
It is the player's first trophy since the Italian tournament and first on a hardcourt since that period of that year.
The win also indicates the Russian has won twenty-one victories at 21 different events.
"This marks the first occasion I have attended a tournament with my children together, so to secure a trophy is particularly special," commented ranked player Daniil Medvedev.
"This victory is in dedication of my child Victoria, because the initial championship I won when my child Alisa was delivered was for her."
The tennis star, the 2021 US Open champion, had lost his past six finals, comprising in that event in the past months.
His retrieving strategy and frequent outbursts on the tennis court had led some to wonder if his capacity to compete at the elite level was concluded.
However the 29-year-old has made changes in the last few weeks, attempting to approach the net and play assertively, supported by an enhanced service.
The champion came back from a break down in the initial set against the tricky opponent, taking four of the last five exchanges to go ahead.
Both players exchanged breaks in the middle set before Moutet, bidding for his initial ATP Tour victory, seized the initiative to create a decider.
He saved 4 initial chances in a competitive third set before the Russian broke to that score to serve for the match.
Fittingly, the winner secured the win with a rally at the front of the court, with the Frenchman incapable to handle a shot after two hours and 38 minutes.
