Standing before a gray backdrop decorated with Hamas logos and emblems of a gunman that commemorate the bloody Oct. 7 attack on Israel, Osama Hamdan, the organization’s representative in Lebanon, professed no concern about his Palestinian faction being dislodged from Gaza.

“We are not worried about the future of the Gaza Strip,” he recently told a crowded news conference in his offices in Beirut’s southern suburbs. “The decision maker is the Palestinian people alone.”

Mr. Hamdan thus dismissed one of Israel’s key objectives since the beginning of its assault on Gaza: to dismantle the Islamist political and military organization that was behind the massacre of about 1,200 people, according to Israeli officials, and which still holds more than 100 hostages.

Prime Minister Benjamin Netanyahu of Israel has repeatedly emphasized that objective even while facing mounting international pressure to scale back military operations. The Biden administration has dispatched senior envoys to Israel to push for a new phase of the war focused on more targeted operations rather than sweeping destruction.