The Central American nation have defied the odds and a difficult draw to reach the quarter-finals of the tournament for the first time, and they face the Dutch in Salvador on Saturday for a place in the last four.
However, defender Gonzalez has stressed that there is an appetite in the Costa Rican squad to continue their historic run and go all of the way, knowing that this opportunity is unlikely to come around again.
"The most important match now is the one against the Netherlands. We have made history. Football is about moments, and we don't know if we will ever again have a chance like this one," he told reporters.
"We got through the 'group of death,' we're here and we are going to try to win this.
"We have not considered ourselves to be less than anyone else. We have already shown before world-famous stars that we can do our job, and this match will be no exception."
Costa Rica would face the winner of Brazil versus Colombia in the last four if they caused another shock against the Dutch, who are looking to make the final of the World Cup for successive tournaments.