Negotiations on hostage release had originally been suspended after the assassination of Saleh al-Arouri.
"Nasrallah understands very well that he has no legitimacy in Lebanon for the war he dragged Lebanese civilians into for the past three months without a break," he wrote.
The Hezbollah leader addressed Israelis evacuated from northern Israel, saying that if they want to return home they should demand the war in Gaza end.
The senior Hamas figure was a savvy strategist with a large network of contacts and his absence will be felt, but Hamas has lost leaders before and will recover.
Arouri was a symbol of the Palestinian fight; his killing is a significant development in the Middle East.
According to the report, it is not yet clear from the investigation whether the assassination was carried out by a fighter jet or a UAV.
A Lebanese security official said that the targeting of the deputy leader was carried out by a fighter jet - not by a drone as initially reported in Arab media outlet
Nasrallah rejected the idea that Israel was only targeting Hamas, not Hezbollah, with the strikes on Tuesday.
Saleh al-Arouri, dubbed by some as the architect of the October 7 massacre, was considered responsible for all Hamas attacks in the West Bank.
"Shin Bet chief Ronen Bar recently spoke on the issue of expanding the responsibilities of the security agency" and its "intent to reach all Hamas leaders anywhere in the world."