The Partenopei defeated Fiorentina 3-1 at the Stadio Olimpico on Saturday, with Lorenzo Insigne netting twice in the opening 17 minutes before Dries Mertens sealed victory for Rafael Benitez's men in injury time, after Juan Vargas had brought the Viola back into the game.
However, the kick-off had been delayed for 45 minutes because of Napoli fans' concern for the welfare of three supporters shot before the game in violent clashes apparently unrelated to the final.
A fireman was also reportedly hit by a flare thrown from the Partenopei end and Hamsik was ultimately forced to speak with his club's fans before the game in an attempt to soothe the situation.
"It was a very difficult night," the Slovakian told Rai Sport. "Every final is complicated, but at the end the emotion of the victory put everything behind us.
"We are professionals and know these things can happen. We had to concentrate on the field and that’s all that matters."
Indeed, Hamsik preferred to focus on the fact that Napoli had secured themselves some silverware from Benitez's first campaign as coach.
"This season we changed coach and system, so it was important to lift this trophy and pay off our hard work," the attacking midfielder explained.
"I dedicate the Coppa to all our fans, my wife and children."