The Bianconeri have picked up just three points from their first four games and face Danish side Copenhagen at home next week before a potentially decisive trip to Galatasaray.
Speaking to Tuttosport, Chiellini insisted his side will not be upset by the likely hostile atmosphere that awaits them in Instanbul.
“We will not be intimidated by the whistles and screams from the crowd," the Italy international declared.
"Of course, the home team can benefit from the atmosphere and give their best, but we will not let it affect us.
"Though I should also point out we have a tough game against Copenhagen first.”
Chiellini also took time to praise his manager Antonio Conte for rejuvenating the club following his arrival from Siena in 2011.
"He is very good - he evaluates everything according to the moment," the versatile centre-half explained.
"I never thought he could change so much in so little time. I lived through both seventh-placed finishes [before Conte's arrival], which were much worse than Calciopoli and Serie B.
"To immediately recover and win the league unbeaten will remain forever in the history of Juventus as unique and special.”