The Shiite premier will face his test Tuesday, when the Iraqi parliament is set to meet to elect a speaker, president and prime minister.
Iran previously pledged to back Baghdad with advice and military assistance if Iraqi leadership requested such from Tehran.
Shiite-dominated Iran has been a strong supporter of current Iraqi leadership, and is a staunch opponent of the breakup of Iraq, describing such as "an Israeli plot," according to the AFP report.
"We will never allow (Israeli Prime Minister Benjamin) Netanyahu's dreams about the disintegration of Iraq and the region to come true," Amir-Abdollahian said Sunday.
The Deputy FM also added that the independence of Kurdistan was "in nobody's interest" and criticized Washington's lack of action to fight against terrorism in the region.
"At best, the behavior of the United States over the past three weeks regarding Iraq has been suspect. We see no need to cooperate or have talks with the United States about Iraq," he said.
