Jose Pekerman's side have recorded their best campaign at the tournament in their history by reaching the last eight of the competition.
However, Armero has revealed that his side are determined to push on to the final by first defeating Brazil in their quarter-final showdown.
He told FIFA.com: "We are working hard to go as far as we can. We knew from the very first game that it wasn't going to be easy, and our approach is to take things one step at a time.
"We haven't come here to enjoy ourselves but to give our all and go for glory."
Colombia face Brazil in Fortaleza later today.