"If there is any willingness in the coalition to go in the ground operation, we will contribute positively in that," Brigadier General Ahmed al-Assiri told AFP.
Since late 2014 Saudi Arabia has been part of a US-led coalition which officially has 65 members and has been bombing the Islamic State Sunni extremist group which seized large parts of Syria and Iraq.
Assiri is spokesman for a separate Saudi-led Arab coalition which, since March, has conducted air strikes and ground operations in Yemen.
Iran is also one of the main allies of Syrian President Bashar al-Assad, whose regime has been fighting an insurgency for about five years.
Saudi Arabia supports more moderate rebels against Assad's forces.