The top-of-the-table clash ended 1-1 and means the Neapolitans remain six points off the pace.
However, Mazzarri strongly feels his players' efforts warranted more than a point, while suggesting two penalties could have been given to his side.
"I think we deserved all three points, as we created a few more scoring opportunities than Juventus. Never mind," Mazzarri told Sky Sport Italia.
“I’m content with the way my team played, especially in the second half, which was not easy against such a strong side.
"It’s a shame for the result, as in the second half I thought Dzemaili’s effort was going in and my players tell me that there were two penalties also.
“We are doing something phenomenal here and will try to continue until the end. We always try to win, then we see what we achieved.
“We keep dropping points and should’ve won against Sampdoria, plus today after I changed system we caused them a lot of problems, but we’re unlucky at the moment. The proof is Dzemaili’s chance, which seemed impossible to miss.“I did not see Juventus as clearly superior in the first half. I don’t think Juventuswere running the game at all apart from the opening 20 minutes.
“The first half saw Marek Hamsik and Goran Pandev with two very early chances, while Juve had a great chance after their goal with Mirko Vucinic. After that, I don’t recall any Juventus opportunities.
“If luck goes our way and we can finish our chances better, then we can notch up four or five consecutive victories. I see us play better against everyone except Lazio, so we will try all the way to go as far as possible. It is what we have always said.”