Washington and other powers have called for a reformed Palestinian Authority to take charge of all Palestinian territories after the war.
The White House welcomed Palestinian President Mahmoud Abbas's appointment of Mohammed Mustafa, a longtime trusted adviser on economic matters, as prime minister three weeks after his predecessor resigned.
Mediators from the US, Egypt and Qatar failed to broker a new ceasefire in time for Ramadan, but Netanyahu said on Thursday there was now “Qatari pressure on Hamas”.
“At the moment, there has been no real response from Hamas. They are still adamant on unacceptable demands,” he told representatives of the hostages' families.
“As a result of our pressure… and with your help, we are seeing Qatar's pressure on Hamas for the first time.”
The war has resulted in severe shortages of medical supplies throughout Gaza, with only a few hospitals partially functioning.
World Health Organization chief Tedros Adhanom Ghebreyesus said aid had been delivered to Al-Aqsa hospital in central Gaza, which is “struggling with water, sanitation, hygiene and waste management”.
Tedros said two hospital warehouses were being used to shelter 7,000 displaced people.