Asked about the likelihood of such an encounter in New York, Zarif told Iran's Tasnim news agency on Saturday that there would be no meeting.
"No. No meeting is expected to take place," he said.
Elsewhere in his Saturday comments, Zarif stressed that Iran had already declared its position on Trump's recent offer of talks.
"The Americans are not honest. In addition, they are grappling with an addiction, their addiction to sanction will not allow talks," he said, adding that Oman had transferred no message from the Americans to the Iranians.
Separately on Saturday, the top Iranian diplomat took to Twitter to denounce Trump's latest measures against Turkey. He also urged the US "to rehabilitate its addiction to sanctions" because the international community would otherwise make it do so.
Javad Zarif
✔@JZarif
Trump's jubilation in inflicting economic hardship on its NATO ally Turkey is shameful. The US has to rehabilitate its addiction to sanctions & bullying or entire world will unite—beyond verbal condemnations—to force it to. We’ve stood with neighbors before, and will again now.
12:00 PM - Aug 11, 2018
On Friday, Majid Takht-e Ravanchi, a member of the Iranian presidency’s political bureau, told ISNA news agency that he doesn’t see “any reason” for talks between Trump and Rouhani at the 73rd UN General Assembly meeting next month.
"What expectations could you have from a person who pulls out from international engagement and now says let's hold talks," he noted.