"Resistance and its weapons are a legitimate right guaranteed by international law and are linked to the establishment of a Palestinian state," Hayya said in a televised address on Hamas-run Al-Aqsa TV.
"We are open to studying any proposals that preserve this right while guaranteeing the establishment of a Palestinian state."
The US-sponsored ceasefire, in effect since October 10, halted the war that began after Hamas's deadly attack on Israel on October 7, 2023. But it remains fragile as Israel and Hamas accuse each other almost daily of violations.
The agreement is composed of three phases. In the first phase of the deal, Palestinian militants committed to releasing the remaining 48 living and dead captives held in the territory.
So far they have released all of the hostages except for one body.
Under the second phase Israeli troops would further withdraw from their positions in Gaza and be replaced by an international stabilisation force, while Hamas would lay down its weapons.
Israel has repeatedly insisted Hamas "will be disarmed".
The third phase includes the reconstruction of the vast areas of Gaza levelled by Israel's retaliatory military campaign.
Hayya also confirmed the head of the group's weapons production was killed in an Israeli strike in the Gaza Strip the day before.
"The Palestinian people are currently going through difficult times and suffering greatly... with the martyrdom of more than 70,000 people, the latest of whom was the mujahid commander Raed Saad and his companions."
Israel announced on Saturday that it had killed Saad, describing him as "one of the architects" of the October 2023 attack.
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