Hamid Reza Asefi, a former Iranian diplomat, also said that Trump should bring Washington's hawks, including Secretary of State Mike Pompeo and National Security Advisor John Bolton, into coordination with his own stances before any possible talks with Iran.
"If they are honest in their words that they want to have negotiations with us without any preconditions, at least they should stay in the JCPOA (nuclear deal) or they should let us get the benefits of European trade", said Morteza Mehdian, a software engineer in his 20s.
Iran claims Trump tried on eight occasions to meet Rouhani at the United Nations General Assembly past year.
Mr Trump made the suggestion in response to a question from a reporter at the White House on Monday.
"Any little thing that can help the people in this bad situation, I really want it to happen for us", said Fathi, a young woman working for an insurance broker.
"No preconditions", Trump said on Monday of a meeting with Iranian leaders. "I do believe that they will probably end up wanting to meet". Secretary of State Mike Pompeo joined Trump's attack on Iran last week during a speech to Iranian-Americans in the USA, calling Teheran's leadership corrupt and comparing it to the mafia.
The Trump administration regards Iran as a destabilising force in the Middle East, arguing the nuclear deal enabled Iran to pursue a more assertive regional policy.
On Monday he said he would be willing to meet with Iran's leaders "any time they want", with "no preconditions".
The withdrawal from the agreement came after Iran was given months of opportunity to re-negotiate these parts of the deal.
A meeting between l Iranian President Hassan Rouhani and Donald Trump could be on the cards.
Speaking to Al Jazeera, Foad Izadi, professor of world studies at the University of Tehran, pointed out to the different statements coming out from Washington and said "no one in Iran" could accept Pompeo's latest conditions.
The Strategic Council on Foreign Relations was set up by Iranian Supreme Leader Ayatollah Ali Khamenei to help formulate long-term policies for the Islamic Republic. Brian Hook, the State Department's director of policy planning, said on July 2 that more than 50 worldwide firms have already announced their plans to leave Iran, "particularly in the energy and finance sectors".
Under the 2015 deal, the fruit of Rouhani's efforts to ease Iran's worldwide isolation to help revive its economy, Iran curbed its shadowy nuclear programme and won relief from United Nations and Western sanctions in return.
Trump has increased pressure on Iran to stop supporting terrorists and militias along with other threatening and destabilizing behavior in the region.
The Majlis deputy speaker said the situation is not right for negotiations "because it will be accompanied by disgrace and humiliation".
"I ended the Iran deal".
Just over a week before President Trump had tweeted a strongly worded warning to the Iranian President.