In a letter published in Britain's Guardian newspaper, they say sanctions have turned into a collective punishment of the Iranian people.
They say the recent election of Hassan Rouhani as Iranian president means the time has come for a "new era of mutual understanding".
The letter's signatories include some of Iran's leading opposition figures.
The reformist politician Mohsen Aminzadeh, and Faezeh Hashemi - the daughter of the former president Hashemi Rafsanjani - are among those to sign.
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