Jose Manuel de la Torre's side ended its stay in Brazil with a 2-1 win over Japan, with Javier Hernandez grabbing both goals, but defeats to host Brazil and Italy meant the CONCACAF power progressed no further. Guardado emphasized his frustration with his side's performance in the tournament, believing that it was not a fair representatione of Mexico's true potential.
"We improved for this match [against Japan], but I'm sure that we can do better than that," Guardado told reporters. "We have a lot of work ahead of us if we want to qualify for the 2014 World Cup in Brazil. The qualifiers are still our priority and we will focus on that soon, but it's true that this victory was a boost to our confidence and we plan to build on that to improve in the following matches.
"We are always proud to play for Mexico and we don't feel good when results don't go our way. But this time it was different, and we can be happy about that, but not about our overall performance. We would have liked to qualify (for the knockout stage)."
Guardado's thoughts were broadly echoed by teammates Diego Reyes and Javier Aquino, who both stressed the opportunity to look to the future amid any disappointment.
"We wanted more," Reyes said. "Mexico always have to qualify to the next rounds of the big events, and we didn't manage to do it. Still, there were quite a few positives and we will build on them to improve for the future."
Aquino added: "This was an interesting competition. We couldn't qualify but we have to take the positives and try to build from that."