Ms Harman, a long-standing Labour MP who has performed many roles within the party, said it had been difficult for her and "400 other" MPs to enter the House of Commons to vote for a referendum result they had not wanted.
On Wednesday night MPs formally began the Brexit process by overwhelmingly supporting the Government's Brexit bill which will allow Mrs May to trigger Article 50.
But This Week presenter Andrew Neil cut off Mrs Harman, who was appearing on the programme, and said he needed to “get on with” the show.
Harriet Harman was cut off sharply by Andrew Neil
In our ears was ringing the speech of George Osborne
Offering her moment of the week, the MP Camberwell and Peckham described the historic vote on Article 50 this week.
She said: “It was walking through the division lobby with 400 plus others and there was 400 actually who were for Remain.
"So this was 400 of us MPs going through the division lobby to ratify a referendum for a result we didn’t want.
“In our ears was ringing the speech of George Osborne who was basically saying forget about this vote, this has happened it happened in June with the referendum decision but now we’ve got to have bills to decide what we’re going to do about agriculture subsidy, no more Common Agricultural Policy.”
George Osborne has been criticised for his Remain campaign tactics
She was cut off sharply by Neil, who said: “It’s just a moment, it’s not an agenda! There’s more to come. There’s more of this programme too provided I can get on with it.”
Addressing MPs during the second reading of the Government’s proposed Article 50 Bill, Mr Osborne insisted he would be actively involved in future Brexit debates.
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The Tory MP for Tatton said: ”A series of issues are going to come to this Parliament that completely divide Brexiteers from each other, Remainers from each other, they divide Conservatives from each other and they divide members of other parties from each other.
“I will be in those fights in the couple of years ahead.”
But Scottish first minister and SNP MP Alex Salmond hit back at Mr Osborne over his widely-criticised EU referendum campaign tactics.
The former Chancellor, David Cameron's closest parliamentary ally and adviser, was a key figure in shaping the negative tone of the referendum campaign.
He said: “Campaigns have to be built on more than fear.”
Mr Salmond also criticised the former Chancellor’s decision to cash in on his time in the Treasury now that he has left government.
Since being sacked by the Prime Minister in July, Mr Osborne has raked in more than £600,000 in lucrative speaking engagements.
May's Brexit speech: World reacts LIVE Tue, January 17, 2017
Politicians and celebrities tweet their reaction as Theresa May unveils her 12 point plan for Britain leaving the EU.
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President of the European Council, Donald Tusk tweets his frustration.
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Jeremy Corbyn called a three-line whip calling on MPs to back the Government’s plans to push forward with Brexit.
This vote means Mrs May will formally begin Britain's EU exit by March 31, 2017.
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