The Uruguay star says the incident has been blown out of proportion after he was accused of biting an opponent for the third time in his career.
Diego Godin scored the only goal of the game with just nine minutes remaining in Natal, as the Celeste dramatically progressed to the last 16 at the expense of the Azzurri, who only needed a draw to go through.
However, Uruguay's success has already been overshadowed by Chiellini's claim that Suarez should have been sent off for biting him on the back of the shoulder when the pair clashed in the box shortly before the deadlock was broken.
The Liverpool striker, though, says that the incident has been blown out of all proportion.
"These things happen inside the penalty area," Suarez told Uruguay's Channel 10 radio station. "We were chest against shoulder. I also immediately suffered a blow to the eye."
Suarez preferred to instead hail his side for the way in which it recovered from surprisingly losing its tournament opener against Costa Rica by defeating England and Italy to seal a place in the knockout stage.
"We were very strong," the striker said. "We did a great job. I think that having started the World Cup badly and turning the situation on its head, we deserved to go through to the next round. I had no more energy [at the end of the game against Italy] — the heat was really strong — but I was calm. Then the goal [from Godin] arrived and we are very happy. Now we will celebrate and think of our next opponent."
After finishing second to Costa Rica, Uruguay will face Colombia in the last 16.