Zanetti will reach the milestone if he plays against Bologna this evening in a game that also coincides with the club's 105th anniversary.
The Argentine veteran believes that it is important for his side to make sure they mark the occasion with a performance to remember.
He told the club's official website: "I am proud to be part of this great Inter family. There is so much history in 105 years and I think that, regardless of any moment we are going through, you have to love Inter unconditionally. That's the way I see it and how I feel.
"It has to be said, 600 is a lot. I again have to thank Inter for this, as to be captain after so many years is a wonderful responsibility and I wear this armband with great pride.
"I hope we can celebrate both my 600th game and Inter's anniversary with a victory and a great performance, putting the defeat in London behind us."