Doveri sent off Vidic in in 92nd minute for dissent in his first Serie A match, and also gave a penalty to Torino, which was saved by Samir Handanovic.
“He was shocking,” Vidic told the official Inter channel.
“I now have to figure out how to handle the referees here as it is different from England. I will have to learn.
“The atmosphere at Inter is very nice, everything is new.
“I am trying to learn the language, it is a new challenge for me.
“At Inter we are trying to bring a positivity around the club and I am sure that if we do this, we will pick up good results.”
Follow Richard Hinman on Twitter: @RichardHinman