Rolando and Fredy Guarin struck the goals for Inter.
"We did well today, but it's too early to talk about Europe as already secure," said Mazzarri.
"In general we have played well in other games, but not managed to get the victory. It's true we still don't know how to control a lead, but we have many young players who need to grow.
"It is a season in which we must lay the foundations for the next few years. Even when Parma were a man down, we lacked that ruthlessness to finish them off."
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