The striker was drafted in from Milan on a six-month loan this week as Fiorentina moved to add more firepower following injuries to Giuseppe Rossi and Mario Gomez.
Matri's impact was immediate as he set up Matias Fernandez for the opener and scored twice himself prior to the interval.
"Today is a dream afternoon," he told Sky Sports Italia.
"(It has been) six difficult months, in which I suffered, and for this I thank those who stood by me, my family and my girlfriend.
"I came to Fiorentina because I believed in this project. At 29 years old it is too early to sit on the bench and wait for your turn."
"I have a muscle strain in my calf," he added. "Tomorrow (Monday) I will make visits (to the club's medical staff) to see what's there."
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