The Bianconeri bowed out to Bayern Munich at the quarter-final stage on Wednesday, with the Bavarians running out 4-0 winners over the two legs.
The Italy keeper remains upbeat about their European campaign, but admits there is work to be done next term.
He told reporters: "We are among the top eight teams in Europe, that is a fact, and that is where we must start to improve again."
The 35-year-old also revealed his delight with the support the Bianconeri received from supporters after the final whistle at Juventus Stadium.
He continued: "They were just amazing, the fans gave us extraordinary help, and the final applause was very nice, we were pleased, despite the disappointment of elimination.
"The fans have realised that we have done the very best we could have done."