Failure to win in their last three games has seen the Nerazzurri slip to fifth in Italy, nine points adrift of leaders Roma, but the former Napoli coach - who took over at San Siro this summer - has no doubt that his players are on the brink of something special.
"It doesn't matter where we are now, what matters is how the team grows throughout the season and how we end it," Mazzarri, 52, told reporters. "We must go beyond the results and look at how we've played in recent games.
"We're on the right path. Inter will be competitive again, I'm sure of that. The club's history and tradition dictate that.
"We've started the season much better than we were expected to, but we must not underestimate the defensive side of things. We must start paying attention to all the details again in that side of the game.
"We can't underestimate anyone or anything, and we have to try and maintain our balance on the break. The players deserve praise for their character, togetherness and organisation."
Mazzarri went on to reveal he has met with new Inter owner Erick Thohir, who completed his takeover of the club earlier this month, and suggested the Indonesian businessman was happy with the way things are progressing at Giuseppe Meazza.
"I've been in contact with Thohir but I'd rather keep club matters to myself," Mazzarri added.
"I'm happy that Thohir said what he did about me and the team. We'll go a long way regardless of how we do in the short term."
Inter's clash with Hellas Verona on Saturday kicks off at 20:45CET.