Speaking at a press conference on Thursday, Rodríguez called the earthquakes “a natural tragedy on a scale we never imagined”.
She rejected criticism that her government had reacted too slowly, saying that thousands of officials had been deployed after the quakes.
“We’ve done everything in our power, and we’ll continue to do everything in our power and more,” Rodríguez told journalists.
A Chilean firefighter had earlier described the operation to rescue Gil as “without doubt the most complex and technically difficult which I’ve had to tackle”.
Allan Madrigal, a paramedic with the Costa Rican Red Cross, told journalists at the site that Gil had “emerged just perfect” from the ordeal.
Madrigal is the rescuer who heard Gil’s faint cries for help emerging from the rubble on Sunday.
“It was an emotional moment,” he recalled, explaining that at first he had not trusted his own ears and asked a colleague to confirm that he “wasn’t just imagining it”.
From that moment on, rescuers raced to try and dig the security guard out.
Gil had been on duty in a small concrete booth in the basement of the parking lot adjacent to the Galerias Playa Grande mall in Catia La Mar when the twin quakes struck.
It appears that the booth created a shell around him, protecting him from the 140 tonnes of rubble which collapsed around and on top of him.
“He has told us that he does not even have a crushed nail,” another Costa Rican Red Cross worker said shortly before Gil was pulled from the rubble.
Gil had been given water and medics had attached him to an intravenous drip while teams from Venezuela, Chile, Costa Rica, El Salvador, Mexico, Portugal and the United States worked to free him.
Parts of the access ducts rescuers built to reach him collapsed several times, highlighting the dangers the work posed to the rescuers as well as Gil.
Overnight, the search teams were finally able to establish visual contact with the survivor.
In footage recorded by a small camera inserted into the rubble where Gil was trapped, a Chilean firefighter could be heard asking him to turn his head towards the camera.
