Nineteen of Medvedev's 21 victories have been achieved on hardcourt
A revitalized Medvedev claimed his initial championship for 882 days with success over Frenchman Moutet in the competition title decider.
The Russian, a former world number one, has had a torrid year, achieving just one match at the Grand Slams and undergoing a meltdown at the US Open.
Medvedev's varied form on the tennis tour - and difficulties with his serve in particular - resulted in him exiting of the world's top 10 and eventually splitting with long-time coach Gilles Cervara.
Currently working with his coach and Goetzke, Medvedev has steadily improved in the recent weeks - peaking in a tightly fought 7-5 4-6 6-3 win over Frenchman Moutet.
This represents the player's maiden title after the Italian tournament and maiden on a hard surface from spring of the previous year.
Victory also indicates he has won twenty-one victories at 21 different events.
"For the first time I'm at a event with my children together, so to secure a championship is especially meaningful," said tennis professional Daniil Medvedev.
"This victory is in dedication of my child my daughter, because the first title I won when my older daughter her name was born was for her."
The tennis star, the former major winner, had lost his last six championship matches, comprising in the German tournament earlier this year.
The player's counter-punching approach and recurring outbursts on court had caused commentators to question if his skill to play at the highest level was concluded.
Yet the athlete has implemented adjustments in recent weeks, striving to come to the net and play positively, backed up by an better service.
The champion came back from a deficit in the first set against the challenging opponent, securing 4 of the last five exchanges to take the lead.
The competitors traded break points in the middle set before Moutet, bidding for his first professional championship, took control to push for a final set.
The opponent defended four initial opportunities in a tight deciding set before the champion won the break to 15 to secure the win.
Suitably, he earned victory with a shot at the net area, with his opponent unable to control a shot after two hours and 38 minutes.
