Earlier in the day, Khamenei said after prayers marking the end of the Muslim holy month of Ramadan that Israel "should be punished, and it will be punished" for last week's attack that killed seven members of the Islamic Revolutionary Guard Corps, including two commanders.
"If Iran attacks from its own territory, Israel will respond and attack in Iran," Katz said in a post on X in Persian and Hebrew.
On April 1, Israel carried out an airstrike on the consular annex of the Iranian Embassy in Damascus, destroying the building. The Syrian Health Ministry said the next day that the attack had also killed four Syrians and injured 13 others.
The Iranian Foreign Ministry said it "reserves the right" to respond to the Israeli attack and "punish the aggressor." Iranian President Ebrahim Raisi also vowed that Israel would pay a "heavy price" for the strike.