U.N. Secretary-General Antonio Guterres said Wednesday that fighting between Israel and Hezbollah must not condemn Lebanon to the same fate as Gaza, the Palestinian territory decimated by years of conflict.

Hezbollah chief Sheikh Naim Qassem said Wednesday that negotiating with Israel under fire would amount to "surrender" for Lebanon, and urged the government to reverse its ban on the party's military activities.

"When negotiations with the Israeli enemy are proposed under fire, this is an imposition of surrender," Qassem said, rejecting the Lebanese president's initiative to start direct negotiations "with an enemy that occupies our land and carries out daily attacks".

The Lebanese Army confirmed Wednesday that the projectile that exploded over Keserwan on Tuesday was an Iranian ballistic missile.

Israel launched strikes on south Lebanon and Beirut's southern suburbs on Wednesday, as Hezbollah said it kept up attacks on Israeli troops.

The Israeli military said on Tuesday that it was operating "according to an unchanged plan" in Iran and Lebanon, regardless of any talks aimed at reaching an agreement to end the hostilities.

Israeli emergency services said a woman was killed in the north of the country on Tuesday following rocket fire from Lebanon, where Israeli forces are fighting Iran-backed Hezbollah.

The Israeli military said a ballistic missile launched from Iran fell in Lebanese territory on Tuesday, as the Middle East war dragged into its fourth week.

"Following an assessment and based on the data available to the IDF (Israeli army), alongside the launches carried out toward the State of Israel earlier today, a ballistic missile fired by the Iranian terror regime fell in Beirut," a military statement said, referring to the missile fragments that landed in various areas of Keserwan and Metn earlier in the day.

Hezbollah on Tuesday called the decision by Lebanon's foreign ministry to expel the newly appointed Iranian ambassador a "sin", and demanded the authorities "immediately reverse" the move.

President Joseph Aoun reiterated Tuesday the government's commitment to Hezbollah disarmament, saying that "Lebanon cannot wage the wars of others on its soil".

"There is no turning back on the government's decisions," Aoun said, adding that "war could have been avoided had Israel responded to calls for withdrawal from occupied territories and committed to the 2024 Agreement."

Israel should "refrain" from sending in forces to take control of a zone in south Lebanon, France's foreign minister told AFP on Tuesday, saying such a move would have "major humanitarian consequences".

"We urge the Israeli authorities to refrain from such ground operations, which would have major humanitarian consequences and would exacerbate the country's already dire situation," Jean-Noel Barrot said.