The forward had a goal chalked off for an alleged handball in the second half of a thrilling encounter on Saturday night, and was relieved to see his nation emerge victorious
David Luiz opened the scoring 18 minutes into an enthralling encounter in Belo Horizonte but Alexis Sanchez levelled matters just after the half-hour mark.
The forward thought he had put Brazil back in front in the second half but his goal was disallowed for handball and the Selecao ultimately only scraped through 3-2 on penalties, with Julio Cesar saving two spot-kicks.
"It was a great match," Hulk, who missed during the shootout, told Rede Globo. "We knew how good Chile are.
"But we lost concentration and I made a mistake. It was our only mistake and they ended up scoring a goal.
"But then, there was my goal too, when the ball came to my chest but it wasn't given. To me, it was clean. I controlled the ball on my chest and shoulder.
"I saw the ball go in but he didn't give it and I initially thought [that the linesman] had given offside.
"But the important thing is really that we still made it [through]. In times like this we see the strength of the group; how much we support each other.
"We're together, we didn't let our heads drop. Thank God Julio [Cesar] made all those wonderful saves!"
Tournament hosts Brazil will now face either Colombia or Uruguay in the quarter-finals.