Speaking in parliament, Wael al-Halqi said Syria's main aim was to "flush out all terrorists from its land" this year and it would "back any initiatives to fight global terrorism," a broadcast on state television showed.
He said Syria would not allow its enemies "to destroy the land of religions and cradle of civilizations" and praised the army for its efforts.
Syria has repeatedly said it wants to coordinate with other countries to fight armed groups in its country. It describes all anti-government forces in Syria as terrorists, Reuters reported.
President Bashar al-Assad said in a magazine interview published last week that US-led air strikes should be subject to an agreement with Damascus and Syrian troops should be involved on the ground.
Washington supports opposition forces fighting for the past four years to topple Assad, but its position has become complicated since Islamic State in Iraq and the Levant (ISIL) and other hardline groups emerged as the most powerful insurgent factions. But it has rejected the idea of allying itself with the Syrian government despite them now having a common enemy.