"It was a fine Roma that played well and created many chances, but was also battered heavily," Ranieri blasted on Sky Italia.
"I like physical football, but next time we need to come here with armour. Inter committed twice as many fouls as we did it was 26 to 13."
When told that Inter coach Jose Mourinho had also criticised the referee, it sparked more anger from Ranieri.
"Mourinho complained? I expected that, he always complains. These were systematic, tactical, professional fouls.
"They are big bullies and if we allow them to carry on like this then they're going to do it. The referee has to privilege those who play football. This was a tactic and therefore has to be punished."