The Samurai Blues suffered a 4-1 reverse at the hands of Colombia on Tuesday night to end their hopes of progression from Group C.
Following the defeat, the 61-year-old told reporters: "I will speak to the management and will let you know whether or not I will stay. I think it is only appropriate for this question to be discussed within the team first.
"I think we left quite a lot to be desired in the first two games. We picked up in the third match. We were forced to play everything against a team that has great potential to go very far in this tournament.
"We all thought we would do a lot better, that we would perform much better as we showed in the first half [against Colombia] when we play intensely as we normally do and we are able to generate opportunities to win a match."
Zaccheroni was appointed as manager of Japan in 2010.