Giorgio Chiellini tweeted on Friday that the four-month ban is too harsh, and added: "Now inside me there's no feelings of joy, revenge or anger against Suarez for an incident that happened on the pitch."
Suarez sunk his teeth into Chiellini's shoulder during Italy's final group stage match against Uruguay on Tuesday night, which saw the Azzurri crash out of the tournament after losing 1-0.
Suarez, 27, was also suspended for nine games by FIFA and told to pay a €82,203) fine over the incident.
FIFA said on Thursday: “Such behaviour cannot be tolerated on any football pitch, and in particular not at a FIFA World Cup when the eyes of millions of people are on the stars on the field.”
Meanwhile, Uruguay's Football Association said on Friday they would appeal against the ban, which takes effect from Uruguay's quarter-finals game against Colombia on Saturday.
Former Argentina player Diego Maradona, who is currently fighting tax evasion accusations in Italy, waded into the debate, saying the punishment was "shameful".