During Wednesday's show, Piers welcomed viewers back to the programme following a break before realising he had made a mistake.
He said: "Well, good morning..." as Susanna went to speak as well.
Susanna said: "Good morning, Britain."
Piers added: "I'm so sorry," to which Susanna said: "That's quite alright."
Explaining his gaffe, Piers said: "I saw the word Susanna and thought, 'oh, I'll just read it.'"
Susanna then appeared to poke fun at her clash with Edwina Currie on yesterday's show (May 12).
She added: "Just common sense isn't it? Just common sense."
During her interview with former politician Edwina, Susanna mocked the government's new lockdown rules.
I saw the word Susanna and thought, 'oh, I'll just read it.'
She said: "So I can be on the common two metres away from lots of people I don’t know but I’m not allowed to know more than one of those people.
"If I see someone else that I know I have to move away from them to other people I don’t know."
Edwina exclaimed: "You've got it!"
Susanna replied: "Brilliant. That's total common sense! As long as I go home and wash my hands, everything is absolutely fine."
Meanwhile, Edwina also accused Susanna of not reading the government's 50-page plan to tackle the coronavirus.
Susanna said: "Why do I have to limit it to just one person? If I can be in a studio with lots of people, couldn't I be out in the common with lots of people?"
However, Edwina said: "Well Susanna, the way you’ve put that question suggests to me you haven’t actually read the government's 50 page plan..."
Susanna hits back
Susanna cut in: "Can I just put you right? Because I have read every word of the government’s 50 page plan."
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