Schillaci, who was relatively unknown when he scored six goals for Italy at the 1990 World Cup to claim the Golden Boot, has backed Immobile to emulate his feat at Fifa’s prestigious competition.
The former Juventus striker has suggested that there are similarities between himself and Immobile, who scored a hat-trick in Italy's 5-3 win over Fluminense on Sunday.
"The conditions are right for Immobile to be [coach Cesare] Prandelli's trump card. He has played and scored a lot this season, he is in excellent shape and has great enthusiasm, just as I had in 1990," Schillaci told Corriere dello Sport.
"He is fast, sees the goal like few others and he does not have the spotlight on him."
Immobile finished as Serie A’s top scorer with 22 goals in 33 appearances for Torino and his positive performances have already earned him a summer move to Bundesliga runners-up Borussia Dortmund.
Meanwhile, Italy have been drawn in Group D alongside England, Uruguay and Costa Rica.
Their first game will be against England in Manaus on Saturday, before they face Costa Rica in Recife on June 20 and Uruguay in Natal on June 24.