The BBC host, Simon McCoy, questioned the first minister over what the SNP could realistically do to influence Brexit talks, regardless of their MPs in Westminster.
Ms Sturgeon was left fuming during the exchange, as the presenter grilled her over the SNP's Brexit position.
He said: “I’m just wondering, in the real world, what influence would the SNP have in any Brexit talks?
“While those negotiations are going on until a deal is reached.”
Nicola Sturgeon was quizzed over how the SNP could influence Brexit negotiations
Nicola Sturgeon claimed the more MPs the SNP have in Westminster, the more they will be able to hold the Government to account over Brexit.
She replied: “Well, unless you are arguing that the voice of Scotland doesn’t count for anything, then if people vote for the SNP next Thursday.
“If the SNP wins the election in Scotland, then what I am saying is that strengthens Scotland’s hand to influence these Brexit negotiations.”
The BBC host quickly interrupted the first minister insisting that was “exactly” his point.
He said: “That is exactly my point because Theresa May as Prime Minister of the UK is carrying out those negotiations with the EU, both the UK and the EU, are saying that Scotland are not part of those talks.
’m just wondering, in the real world, what influence would the SNP have in any Brexit talks?
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“You’re part of the UK and that’s who carries out the negotiation.”
Ms Sturgeon reiterated the every vote for the SNP would help her stand up against the government during Brexit talks with the bloc.
“My message though is we can change that next Thursday by making sure that that SNP’s hand is strengthened to represent Scotland,” she added.
“Theresa May when she became Prime Minister and this was something I welcomed at the time, said that she wanted to proceed in these negotiations very much on a four-nation basis.
“She has not behaved in that way since she made that commitment instead she is ignoring the voice of Scotland.
The TV election debate – in pictures Wed, May 31, 2017
The televised debate saw Jeremy Corbyn, Amber Rudd, Paul Nuttall, Caroline Lucas, Angus Robertson, Tim Farron and Leanne Wood go toe-to-toe
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The politicians taking part in the debate
“I think as we have seen over the course of this campaign Theresa May duck and diving trying to avoid scrutiny, unable to answer the most basic of questions, about her policies including her approach to Brexit, then I think everybody should be concerned about her ability if she is left to her own devices to get the best deal for the UK.”
The first minister finished by admitting that if the “arithmetic added up” the SNP would be up for forming a potential progressive alliance to keep the Tories out of power.
A YouGov poll for the Times, conducted over the past two days (May 30-31), puts the Tories on 42 per cent with the Labour party close behind on 39 per cent.
The Tories' three-point lead is the lowest of the campaign so far, while Labour’s 39 per cent is the Party’s highest poll result since February 2014.