The experienced defender is desperate for success this season, while he is hopeful that playmaker Wesley Sneijder will soon return to the pitch again
The Giuseppe Meazza outfit currently sit joint third in the league table, trailing the Turin giants by four points, and Zanetti is determined to push the reigning champions right to the end of the 2012-13 campaign.
"Are we Juve's main rivals? We want to be up there challenging with them," Zanetti was quoted as saying on the official Inter website.
"We're following our path and we all feel we have a part to play."
The Argentine then went on to discuss Wesley Sneijder's ongoing injury worries, and hopes that the playmaker will soon return to match action again.
"I hope he can get over his injury problems soon because he gives us something extra and he's desperate to come back. He's a key player for us."
Sneijder has made eight official appearances for Inter this term, scoring two goals in the process.