"It's possible that Iran and the United states might have friendly relations. But the key to that is in Washington's hands, not Tehran's," Rouhani said in a news conference in Rome before flying to Paris to continue his first trip to Europe since the lifting of sanctions.
Iran willing to join peace talks
He also accused the "Israeli lobby" for being responsible for US hostility towards Iran.
Rouhani is looking to rebuild Iranian relations with the West some two weeks after financial sanctions on Tehran were rolled back following the implementation of its nuclear deal with world powers.
"Iran does not just want trade, but also investment and technology," he said.
Nuclear deal: US hails Iran breakthroughs but imposes fresh sanctions
He rejected accusations by many Western nations that Iran is funding various militant groups which they deem to be terrorist organisations.
"It is clear that Iran is a country opposed to terrorism and a country that fights terrorism," he said.
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