His views, during the BBC programme, on Britain's response to the refugee crisis are equally provocative.
To start the programme Deputy Chairman of Ukip, Suzanne Evans, was asked of Britain's current commitment to refugees.
She said Britain should not accept any more refugees and that that crisis was being used by the EU as a form of blackmail.
After which Varoufakis was asked his opinion on whether Britain should take more refugees.
Well let me begin by saying the answer to the question is exactly the opposite. Let me remind you ladies and gentlemen that we are all migrants. And we’re all economic migrants. If I believe my anthropologist friends we are all Africans, actually. We came to these parts of the world.
At which point Evans interjected:
But it was a long time ago.
A long long time ago but the notion that at the time when there are tens of thousands of desperate refugees being washed up on the shores of Greece and Italy, when there are 3.1 million refugees from that particular conflict in Jordan, in Turkey, in Lebanon and these poor countries have opened their doors to these refugees and they’ve welcomed them, they’ve sheltered them, they’ve fed them, they’ve made sure that they have water to drink - to have this discussion in Cambridge today on whether there will be ten or twenty thousand people who are let in, to have this moral panic because of a few wretched souls on the other side of the channel in Calais? This is not putting in good stead this country.
Varoufakis’ reply was met with applause from the audience, at which point David Dimbleby enquired as to whether he held the view there should be a completely open door policy.
I have a tendency to say that borders are an absurdity when looked at from space.