The Nerazzurri were left frustrated by a goalless draw with Serie A rivals Udinese at San Siro on Thursday night as Mazzarri's men failed to make up ground on fourth-placed Fiorentina in the race for Europe.
Inter rarely seriously threatened rookie Udinese goalkeeper Simon Scuffet and, following the disappointment of last weekend's 2-1 home defeat to Atalanta, coach Mazzarri has come under fire for leading such toothless displays.
The Tuscan feels the criticism is unjust, but thinks a little extra cynicism in the final third would not go amiss.
He told inter.it: "Only six goals scored in eight home matches? And how many other episodes were there?
"How many chances have we created, like this evening in the last half hour? If I started making a list it would never end.
"I wasn't happy with our first half. Udinese are a tough opponent, but it was very even.
"In the second half we deserved at least two or three goals from the 60th minute onward. But if you don't score...
"We sent in so many balls from the flanks and all we needed to do was turn one of them into a goal. But that certainly isn't easy against Udinese.
"Those chances need to be put away. That's the only way to do it."
Mazzarri, who replaced Andrea Stramaccioni last summer, is confident he will soon thrash out a new deal with club president Erick Thohir, but only once Inter know whether or not they have secured a return to European competition.
"You're already talking about my contract?" he added. "I believe the discussion concerning my contract is set for the end the season.
"There's already dialogue going on within the club and I believe it's going well, but there are still a few details to work out.
"Most of all, I think we need to end the season well and then we can start from there. After the season's end we can evaluate everything together calmly.
"We all have the same purpose in mind."