The Hoops face Juve in the competition's Last 16 tie, with the first leg in Glasgow next month.
The Turin giants surprisingly went down to Sampdoria in a shock 2-1 defeat in their first game in Serie A in 2013.
Zoff – who made over 350 appearances for Juventus – has been impressed with his former club.
And he's become the latest in a long line of European football figures, like Michel Platini and Fabio Capello, to write Neil Lennon's side off and predict an easy passage through to the quarter-finals for the Italians.
Zoff said: "This Juventus team can go a long way in Europe.
"They have drawn Celtic in the next round, but they are certainly not an impossible opponent and they will go through.
"The Italian champion-ship is very long, so Juve shouldn't get complacent and think the league is already won.
"Antonio Conte is an excellent coach and a smart man. He won't have his players believing they have already won things.
"Juventus are a quick, strong team and, in theory anyway, they should not have too many problems."
Zoff, 70, famously became the oldest player ever to win the World Cup when he captained the Azzurri to glory in Spain in 1982 at the age of 40.
He later managed Italy, Juventus and had three spells in charge of Lazio.