"From the beginning we all knew that entering into negotiations meant facing major difficulties, because in negotiations all your demands cannot be met," Zarif was quoted on the website of state broadcaster IRIB as telling parliament.
"Therefore, you will face criticism and (verbal) attacks -- which are happening now," he said.
The veteran diplomat, who received a hero's welcome when he returned home after the deal was clinched early Sunday in Geneva, admitted that his team could have secured a better deal and that he was ready to face criticism.
The historic agreement rolls back parts of Iran's nuclear work and freezes further advances in exchange for a limited relief from sanctions that have choked Iran's economy.
More From This Section
The agreement is valid for six months as negotiations continue towards a final deal.
Western nations and Israel have long accused Iran of seeking a nuclear weapons capability alongside its civilian programme, charges denied by Tehran, which insists its uranium enrichment is purely for energy and medical research.
Some parliamentarians, led by hardline MP Rouhollah Hosseinian, expressed misgivings at the agreement.
"The wording of the agreement about uranium enrichment is implicit and it can only mean limiting (Iran's) enrichment right."
Conservative lawmaker Alireza Zakani, as quoted by the Fars news agency, also expressed frustration at deal.
"We are being deprived from having a peaceful nuclear programme while the region's cancerous tumour can use a nuclear bomb," said Zakani, referring to Israel, widely believed to be the region's sole if undeclared nuclear power.
Zarif in his comments to lawmakers also stressed the importance of setting up a joint committee, as agreed in Geneva, to ensure the agreement is fully implemented.