"I have always considered unequivocal the disciplinary interventions by the competent bodies, but at the same time I believe that the proposed formula is excessive," said Chiellini on his website.
Football governing body FIFA slapped the four month ban from all football activity and a nine game international match suspension, effectively kicking Suarez out of the World Cup.
Suarez bit Chiellini during Uruguay's 1-0 victory over Italy in their World Cup Group D clash on Tuesday.
"There only remains the anger and the disappointment about the match. At the moment, my only thought is for Luis and his family, because they will face a very difficult period.
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"I sincerely hope he will be allowed to stay close to his teammates during the games, because such a ban is really alienating for a player."
Suarez bid farewell to his team-mates on Thursday as they prepared for Saturday's last 16 game with Colombia.
It is the third time Suarez has been banned for biting and opponent.
He served a seven-game ban for biting a player in November 2010 when he was with Dutch side Ajax and a 10 game suspension after biting Chelsea defender Branislav Ivanovic in April 2013.