In a statement declared on Saturday the Geneva-based organization announced that its rescue operations have been aborted due to the security reasons and lack of access to the region.
"People trapped in zones where military operations are taking place are particularly affected," press tv quoted the statement as saying.
Being forced to reduce its operations the Red Cross reported receiving dozens of calls from dozens of people trapped in the enclave who are facing lack of food and drinking water.
"Yesterday, we received a call from a family of 40 people, including 20 children, staying in a house in the Netzarim area. They told us they had not had drinking water for almost six days because the well supplying water to their house had been damaged," the statement quoted an ICRC employee in Gaza as saying.
Palestinians are in the grip of an Israeli imposed blockade since 18 months ago, practicing difficulties as Israel has locked the Palestinians in the Strip closing the border crossings to almost all fuel, food, equipment and other basic humanitarian good.
The Israeli forces are also preventing UN and other international human rights monitors and journalists from entering the region.
"As it has not been possible for the past two days to bring medical supplies from the north of the Gaza Strip to health facilities such as the European, Naser and Al-Aqsa hospitals in the south, these facilities are experiencing shortages of medicine and other medical items," the statement suggested.
"The situation in the primary health-care sector appears to be worsening. Many primary health-care centers are no longer functioning, some because they have been damaged. This has had a serious effect on those in need of regular medical follow-up," it added.
The number of those killed in the Washington-backed Israeli offensive against Gaza has surpassed 860, while over 3500 other people have been wounded in the slaughter.