Mamdani walked back his threat last week, acknowledging he lacked the legal power to arrest Netanyahu on a warrant issued by the International Criminal Court.
Neither the US nor Iran have launched attacks in the last three nights, after almost two weeks of tit-for-tat strikes risked derailing talks to permanently end the war.
The latest attacks come two days after a clash between settlers and Palestinians near the village of Tal, which left four Palestinians and two Israelis dead.