The Palestinian group is still ready to "deal positively" with any ceasefire proposal that ends the war, the official said.
The Aita al-Shaab village is in ruins after months of Israeli air strikes on one of Hezbollah's main bastions in south Lebanon.
"The war in its current stage is going to end in Rafah."
Video from two of the areas targeted shows extensive destruction and multiple casualties after large explosions.
The move comes as centrist former general Benny Gantz departs from government.
The military had announced the daily pauses along one of the main roads into Gaza.
The soldiers, all members of a combat engineering unit, were in an armoured carrier that was hit by an explosion.
Iran-backed Hezbollah and Israel have been trading fire since the eruption of the Gaza war.
Hamas is said to have welcomed the adoption of the US-drafted resolution.
