Inter coach Mourinho has since been given a three-match ban for making a handcuff gesture towards the crowd at San Siro.
Four Inter players have also received suspensions ranging from one-match to two.
"Enough, now let's not give him any more weight. Let's go forward talking about serious things. Stop responding to those guys, it's not worth it," Mazzarri said.
"I don't give any weight or significance to their words."