Zimbabwe and Iran share close ties as both countries have been at the receiving end of illegal United States sanctions.
The 68-year-old cleric kissed the Koran and took the oath of office before parliament, senior politicians and foreign dignitaries in Tehran on Saturday, promising to serve his people, protect individual rights and defend the country.
Chung visited Tehran to attend the inauguration ceremony of Iranian President Rouhani, who was re-elected in May.
Iran's Interior Ministry has chose to raise security level at the Parliament to "critical" during the inaugural ceremony. He reiterated Iran's stance that the USA legislation signed by Trump amounts to a "hostile" breach of the landmark 2015 nuclear deal.
Discussions over United States foreign policy vis-à-vis Iran are continuing as we speak.
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Separately, Russian state media are reporting Russia and Iran have agreed to strengthen military, technical and technological cooperation following the new USA sanctions.
Zarif described the U.S. move as a violation of the nuclear deal's text, and said, "Trump tries to breach the deal with Iran paying the costs, but Europe needs to be alert in this regard".
Chung also met Iranian President Hassan Rouhani, sharing ideas on expanding exchanges and joining forces for peace on the Korean Peninsula. Khamenei again called for economic self-sufficiency and a "resistance economy", a stance arising from his repeated criticism of the halting pace of economic recovery since most global sanctions on Iran were lifted early a year ago.
The 2015 nuclear deal only put caps on its uranium enrichment program.
The runner-up, Ebrahim Raisi, secured 38.5% of the votes.
Tehran's pursuit of ballistic missiles, controversial nuclear program, support for proxies across the Middle East and fueling sectarian strife has gained widespread attention across the global community.
Much of Rouhani's popularity has been built on his promise of greater civil liberties, including more rights for women, but Iran has still had only one female cabinet member since the 1979 revolution - ironically under hardliner Mahmoud Ahmadinejad.