Nineteen of the Russian's twenty-one titles have been achieved on hard surfaces
A comeback Medvedev claimed his initial championship for 882 days with victory over Corentin Moutet in the competition championship match.
The Russian, a ex- world number one, has endured a difficult season, winning just one match at the major tournaments and undergoing a meltdown at the US Open.
Medvedev's unpredictability on the professional circuit - and difficulties with his serving in particular - caused him dropping out of the world's top 10 and eventually separating with long-time coach Gilles Cervara.
Presently collaborating with Thomas Johansson and Goetzke, the tennis star has steadily improved in the recent weeks - culminating in a closely contested 7-5 4-6 6-3 triumph over opponent Moutet.
It is the player's initial championship following the Italian tournament and maiden on a hardcourt after that period of that year.
Success also means he has achieved 21 championships at 21 various competitions.
"For the first time I am participating in a competition with my both daughters at once, so to secure a title is really nice," said ranked player Medvedev.
"This victory is in tribute of my child my daughter, because the initial championship I got when my first daughter Alisa was born was for her."
Medvedev, the past champion, had lost his past six title deciders, comprising in Halle previously this season.
His counter-punching approach and recurring reactions on the tennis court had caused commentators to doubt if his ability to perform at the highest level was finished.
But the athlete has implemented adjustments in the past month, attempting to come to the net and play positively, reinforced by an better serving game.
The champion recovered from a disadvantage in the opening set against the challenging Frenchman, securing 4 of the final five exchanges to take the lead.
The competitors exchanged service breaks in the middle set before the challenger, striving for his initial tour title, seized the initiative to push for a third set.
The opponent defended 4 early chances in a close final set before the champion broke to 15 to serve for the match.
Suitably, he earned victory with a shot at the net, with Moutet unable to control a return after a lengthy match.
