The Monaco forward also insisted that his side do not feel under pressure, despite going into the match as the underdogs.
"As a younger man, I always wanted to be here. That was a great dream of mine and we hope that we can make it far. It is a dream and we are making history and we want to do even more because this is a team that wants to win a lot," The Mirror quotes him as saying.
"There is no pressure. Obviously Brazil have their good players, they play well but I believe they must also follow us closely.
"We have good players and we can be dangerous, so this is going to be a beautiful match. It will be something extraordinary for us to play."
Rodriguez, who found the net twice during his side's 2-0 win over Uruguay in the last 16, has been hailed as one of the brightest stars of the tournament.