"Fighting terrorism is a general responsibility of all nations and the Islamic Republic of Iran in this regard considers placing (Abolmalek) Rigi's terrorist group on the US national list of terror organisations as a move in the right direction," foreign ministry spokesman Ramin Mehmanparast said.
But he reiterated Iranian accusations that Washington supports the group.
"Iran will evaluate in practice America's change of policy regarding its support of terror groups like Jundallah, Tondar and PJAK," he added, according to Fars new agency.
The United States on Wednesday officially designated Jundallah a foreign terrorist organization, blaming it for a series of attacks in Iran.
It has already placed the outlawed Kurdish group PJAK on its list of terror groups.
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