The highly respected TV reporter said, "It's very hard to find anyone in Europe who supports the EU."
This, he said, was a reference to surveys conducted across the EU in the aftermath of the UK referendum on 23 June.
"With democracy being sidelined in so many institutions in Brussels, I think many people in Europe will be feeling that it is time for their countries do what Britain did."
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Many Europeans are deeply dissatisfied with Brussels' "unnecessary" austerity policies that impoverish countries like Italy or Spain, he suggested.
Italy's rate of unemployment is nearing that of Greece, a country in a seemingly permanent state of financial crisis. Spain and Portugal are experiencing a roughly 40 per cent unemployment rate for graduates, he claimed.
"The idea that there should be a very autocratic neo-liberal economy dominating over all the countries in Europe is just absurd," the Australian-born Pilger said in an interview with Radio Sputnik.
The EU badly needs a "united voice" to remain integrated, Pilger said, adding that the existing model of the bloc leads to separation and inequality.
Meanwhile, UK Labour leadership challenger, Owen Smith, has said he would block the government from starting Brexit talks with the EU, unless there was a commitment to second referendum or a general election to approve the final deal.
"Nobody knows what Brexit looks like…It could involve trashing workers' rights and environmental protections, opening our National Health Service up to foreign competition, making it harder for us to trade with our neighbours and damaging our economy," he said on Wednesday.
Smith added that voters were not fully informed to make the vote and "deserve to have a say on whatever exit deal the Tories strike."
"Under my leadership, Labour won't give the Tories a blank cheque. We will vote in Parliament to block any attempt to invoke article 50 until Theresa May commits to a second referendum or a general election on whatever EU exit deal emerges at the end of the process," Smith said.
Labour will elect the party's leader on 24 September.
With the Brexit fallout now starting to be felt, German CDU MP and deputy leader of the CDU/CSU Parliamentary Party, Michael Fuchs, has warned the UK over access to the single market in financial services post-Brexit.
"If you're member of a club you have certain benefits, but if you're out, you will not have the benefits any more…It's not going to be an easy game…I really think this is something that's not negotiable, the so-called banking passport," he said.