Mutu was sacked by Chelsea in September 2004 after testing positive for cocaine.
The former Romania international received a seven-month ban from football, but Chelsea took a firm stance on the forward and sacked him before suing to recover the money they paid to sign him.
Mutu rebuilt his career first at Juventus, whom he joined via a licensing technicality with Livorno, and then at Fiorentina once he was able to play again.
"I admit that we were left very surprised by the ruling against us," Juventus administrator Aldo.
Mazzia said to www.tuttojuve.com earlier this week: "But I believe we have a good probability to overturn this decision and we will use every channel possible to make our reasons heard.
"There are two crucial steps, one is the CAS (Court of Arbitration for Sport) and the other one is to go to the Swiss Federal Court eventually."
Mutu, now 34 and playing club football in Ligue 1 side AC Ajaccien, was initially ordered to pay former club Chelsea 17.7million euros (£14,990,000) but has always claimed he cannot afford to pay the fine.
That figure has risen due to interest over time with Mutu having lost all of his appeals in a legal battle which has lasted over nine years.