The commander made the comments after the US military began a blockade of Iranian ships on Monday.
Israel strikes hit southern Lebanon and Hezbollah fires rockets at Israel, a day after rare direct negotiations.
The Lebanese government go into peace talks with limited influence over the group.
A US statement said the two sides had agreed to launch direct negotiations, at a time and place to be determined.
The survivors of the US attack on Iranian vessel Iris Dena, which claimed the lives of 104 people, were among those sent home.
The United Nations' secretary general said it was "highly probable" that the negotiations would restart.
BBC foreign correspondent Nick Beake visits Metula, an Israeli town surrounded on three sides by Lebanon.
The Italian PM said the pact, which happens every five years, would be suspended "in view of the current situation".
Ahmed Shihab-Eldin is understood to be facing charges including spreading false information, the Committee to Protect Journalists says.
The official tells the BBC that the armed group will not move forward with talks until Israel fully complies with its commitments.
China, the biggest buyer of Iranian oil, says the US naval blockade undermines an "already fragile ceasefire".
Organisations warn many more people could be executed in the wake of the anti-government protests which swept Iran earlier this year.
Since the start of the US blockade on Monday, 15 vessels have crossed the Strait of Hormuz, nine of which have links to Iran, BBC Verify analysis of ship-tracking data suggests.
Donald Trump says that the US is blockading the Strait of Hormuz. What does this mean in practice?
The vast majority did not believe Hezbollah or Iran had been severely weakened by weeks of Israeli and US attacks, according to the poll.
The US military is gambling on the blockade denying Iran vital trade - but questions remain on whether the bet will pay off.
Twenty-one hours was not enough to end 47 years of hostility between Iran and the US, writes the BBC's Lyse Doucet.
The US has started a naval blockade of maritime traffic entering and leaving Iranian ports.
BBC Middle East correspondent Hugo Bachega joins paramedics on duty in Nabatieh - a city that was once vibrant, but is now abandoned.
A US blockade of Iran's ports is in place, having begun on Monday, according to Donald Trump.
The BBC's security correspondent Frank Gardner explains how the US blockade of Iranian ports will work.
A subdued economy makes trade-offs and choices over public spending more difficult, Chris Mason writes.
More than 160 people have been killed since Friday in Lebanon, where Israel is pressing on with its campaign against Hezbollah despite the US-Iran ceasefire.
UK minesweepers and anti-drone capabilities will continue operating in the region, as pressure ramps up to reopen the key shipping route.
