The Nerazzurri have endured a horror start to the season which saw the sacking of Gian Piero Gasperini as coach after just five matches in charge.
Former Chelsea and Juventus supremo Claudio Ranieri has since taken over of the side, and has started well enough to suggest he could be the one to steady the ship at the Giuseppe Meazza.
Inter recorded a 1-0 win over Lille in the Champions League on Tuesday to see them go top of Group B, and Zanetti now wants them to continue their winning ways on Sunday, which he feels would be a perfect 60th birthday present for Ranieri.
"We want to give Ranieri a big present on Sunday by beating Chievo," Zanetti told Ansa. "We're determined to turn things around in San Siro.
"The start of the season has been fraught with difficulties but what we showed in Lille was important.
"We won and it was clear how motivated we are."
Zanetti concedes criticism of Inter's early-season form was understandable, considering the success the side have enjoyed over the past few campaigns.
"The criticism? It was to be expected.
"We've been winning things for seven years and they were just waiting for the first difficulties to arise so they could knock us. It's part of the game.
"We're not looking at the table at the moment, we're just focusing on one match at a time."
Despite their good form on the continental stage, Inter are still 17th in Serie A after picking up just four points from their opening six games.