The Inter man was sent off in the final kick of the 2-1 home defeat to Juventus for sliding on to Giovinco's standing ankle.
"My history speaks for me and Juve also understood straight away that it was an accident," Cambiasso told Inter Channel.
"I went into the locker room to see how Giovinco was doing. He is a colleague and I didn't want to cause him any problems.
"He didn't seem too bad, though unfortunately I did arrive late to the tackle. I think what I have done in my career makes everyone realise I didn't want to break anyone's ankle."