Cruz, who has appeared regularly on USA cable news programs, was particularly pointed in rejecting a statement by acting Homeland Security secretary, Elaine Duke, who called the government's response "a good news story in terms of our ability to reach people and the limited number of deaths that have taken place".
FEMA said in a news release Saturday that urban search-and-rescue teams, working alongside local law enforcement, have scoured the island and rescued 843 people. Please stop tweeting & golfing while people are dying!
"We will not rest until everyone is safe and secure", Sanders said.
Mayor Cruz said her goal was to save lives without getting distracted by anything else.
For his part, Trump said Puerto Rico is "totally unable" to handle the catastrophe on its own. "It's been wiped out".
White House Press Secretary Sarah Sanders said during a September 28 briefing that in Puerto Rico, "The full weight of the US government is engaged". Emphasising the difficulty of the task of rebuilding devastated areas, Trump noted that the United States territory is "an island surrounded by water".
A woman with diabetes said a lack of refrigeration had spoiled her insulin. "I know it is really a good news story in terms of our ability to reach people and the limited number of deaths that have taken place in such a devastating hurricane".
"This is, there's a truckload of stuff that can not be taken to people story", said Cruz.
"We will never be satisfied", Duke told CNN and reporters traveling with her on the tarmac at San Juan International Airport.
Trump was already under fire from some USA lawmakers, who accused him of not giving sufficient importance to the situation and responding too slowly to the crisis in Puerto Rico, where the electrical infrastructure was totally destroyed and the people are having to wait in extremely long lines for food, fuel, water and cash.
Twelve days after Hurricane Maria struck Puerto Rico, officials said only 5% of the island has electricity and its schools are not close to reopening.
Trump weighed in on his way to New Jersey for the weekend.
But on Saturday, Federal Emergency Management Administration (FEMA) officials reported that a third of the island's telecommunications network had been restored, and some 765 gas stations - well over half - had fuel, though it was not clear how much.
Rossello has called the widespread heavy damage to Puerto Rico's homes, roads and infrastructure unprecedented, though he has praised the USA government's relief efforts.
Bossert said there are now 10,000 US federal personnel in Puerto Rico, including 7,200 troops. "A lot of people in St. Paul are from Puerto Rico and have loved ones there". She aligned herself with Puerto Rico's large and long-marginalized Dominican minority.
The process of rebuilding the island will be a long road ahead as the costs and expenses of the project will be enormous. And President George W. Bush was faulted for not immediately returning to Washington from his Crawford, Texas, ranch after Hurricane Katrina devastated New Orleans.
Duke also spoke alongside Puerto Rico's governor, Ricardo Rossello, and Rep. Jennifer Gonzalez, the delegate from the territory, during a press conference Friday.
Brig. Gen. Rich Kim, the U.S. Army North deputy commanding general, will establish a headquarters to help manage the response, the Defense Department said in a news release.
"Right now we have hospitals (elsewhere) that need diesel, they need water, they need oxygen", Matta said. The storm knocked out the country's power grid and left millions of people without potable water.