Nineteen of the Russian's 21 championships have been achieved on hardcourt
A resurgent Medvedev secured his maiden championship for 882 days with victory over Frenchman Moutet in the tournament title decider.
The Russian, a former number one, has had a torrid season, winning just one match at the major tournaments and undergoing a difficult moment at the US Open.
The player's inconsistency on the professional circuit - and struggles with his service game in particular - led to him falling of the top ten and finally separating with long-term trainer Cervara.
Currently training with Thomas Johansson and Goetzke, he has gradually progressed in the past month - culminating in a tightly fought 7-5 4-6 6-3 win over challenger Moutet.
This marks his initial championship after the Rome competition and maiden on a hardcourt from spring of the previous year.
The win also signifies the Russian has achieved twenty-one championships at 21 various tournaments.
"It's the first time I have attended a competition with my children simultaneously, so to win a title is particularly special," stated tennis professional the champion.
"This title is in honour of my child her name, because the first title I got when my older daughter her name was born was for her."
The tennis star, the 2021 US Open champion, had failed in his last six finals, comprising in that event earlier this year.
The player's defensive strategy and recurring reactions on the tennis court had caused some to wonder if his skill to perform at the top level was concluded.
Yet the athlete has made changes in the last few weeks, striving to come to the net and play aggressively, backed up by an enhanced serving game.
Medvedev recovered from a deficit in the initial set against the challenging Moutet, taking 4 of the final five points to go ahead.
Both players traded break points in the second set before Moutet, bidding for his initial professional title, seized the initiative to create a third set.
Moutet rescued four initial break points in a close third set before the champion broke to that score to close out the victory.
Appropriately, he earned the title with a shot at the net, with the Frenchman unable to handle a volley after over two and a half hours.