Vanoli was hired to the end of the season after replacing the axed Stefano Pioli and has since guided the club away from the Serie A relegation zone.
Agent Andrea D'Amico told Radio FirenzeViola: "We deeply believe in Fiorentina's reconfirmation. Football is by definition an episodic sport. I've seen the data, and the data doesn't lie: Fiorentina created the most important chances, even though Inter had more possession.
"Overall, I think it was a truly important result. Because let's not forget that Paolo's work since he arrived in Florence has not only been physical, but above all mental.
"The moral rebirth, the self-esteem of a team that came from a major championship and then found itself at the bottom. We needed to act in a positive mental manner."
He also said: "I think he's performing a small sporting miracle, so we believe in him deeply. Then we'll see what the club decides.
"For us, it's a great moment that comes after so much effort and so much personal and sporting suffering.
"In hindsight, it's easy to talk; what matters is the result Paolo is achieving."