"Inter are superior to us, we are not arguing with that. We want to compete for the title, though," smiled Ranieri.
"The important thing is to be up there, as we have said from the start that we want to be the pain in the backside of Serie A this season. I think many fans around Italy supported us tonight."
Juve are in the top four and fought back from Julio Cruz's opener just before half-time.
"The offside trap is a tactic we do well and of course we should have done better on Cruz's goal, but it is a very difficult system and we'll study the situation to improve."
Mauro Camoranesi came off the bench to snatch a late equaliser and Ranieri explained why he could not risk him for 90 minutes.
"The last time I tried Camoranesi from the start he tore a muscle and was out for two months. He's only played 12 minutes, so I preferred to have him fresh when Inter were tired.
"I've only had Camoranesi for practically one half at Cagliari and he gave us the victory. He is a sublime player.
"Vincenzo Iaquinta in his best period of form got bronchitis and had to stay out, so he is also slowly getting back to full fitness. We are not yet as fluid and well-organised in attack as we are in defence or midfield."
