Aidarous al-Zoubeidi said he remains committed to the Riyadh agreement 'under the leadership of Saudi Arabia'.
Following days of denial, the regime acknowledged a missile operator had opened fire after mistaking the plane for a cruise missile.
Sanctions have been imposed on eight Iranian officials and 17 metal producers and mining companies accused of destabilising activity.
The militia's recent threats to target Saudi Arabia and the UAE are part of a media strategy to downplay its vulnerability, analysts say.
At a meeting of foreign ministers in Brussels, NATO member states called for 'restraint and de-escalation', as a new conflict would be in 'no one's interest'.
Hizbullah has little to gain and much to lose if it commits acts of vengeance after the killing of IRGC-QF commander Soleimani, experts say.
Saudi Arabia has appealed for all actors to take the necessary steps to prevent further escalation in the wake of Soleimani's killing.
The Iranian regime has threatened to avenge the killing of general Qassem Soleimani in a US drone strike.
World powers and entities react to the killing of IRGC Quds Force commander Qassem Soleimani in a US strike on his convoy in Baghdad.
Qassem Soleimani was largely held responsible for the recent deaths of hundreds of Iraqi protestors by Iran-backed militias.