Mr Podesta tweeted later on Friday that he was on a cross-country trip when he stopped in West Virginia to learn that the USA president had tweeted about him.
During President Trump's last foreign trip, he was noticeably absent on Twitter, but it seems that he won't be making a habit out of that.
Podesta launched a seven-tweet rebuttle to Trump's complaint..
Podesta noted Friday that he had "nothing to do with the DNC".
USA intelligence agencies have blamed the hacking of the DNC as well as Podesta's personal email account on the Russian government.
MSNBC's Joe Scarborough, for instance imagined German Chancellor Angela Merkel and French President Emmanuel Macron huddling to discuss why Podesta "did not give up his risotto recipe".
White House principal deputy press secretary Sarah Huckabee Sanders had not responded to an email seeking clarity on who is the "everyone" at the G-20 who has been bringing up the DNC-Clinton campaign email situation.
Plus, as Clinton's campaign chairman, Podesta was not involved with the DNC's decision not to turn over its hacked servers to federal investigators. "You're representing the United States at the G20", he concluded.
"I had nothing to do with the DNC", he wrote. "So there was no DNC server for me to refuse to give, and I was never asked for one". Second, the CIA has no role in domestic intelligence-gathering - in fact, it's prohibited.
Several hours later, Podesta fired back.
As recently as Thursday, Trump declined to say definitively that Russian Federation had meddled in last year's USA elections - a conclusion reached by multiple US intelligence agencies.
U.S. President Donald Trump has again slammed mainstream media for not writing accurately about him and covering him negatively, but said he will fight for his country's interests.
"I have no idea what he's talking about", an aide on the trip with Trump said.
Trump also had repeated his contention that Obama, his predecessor, did not do enough to respond to the allegations of Russian hacking during his tenure.
But Podesta reminded Trump that the Clinton campaign and the Democratic National Committee were not the same entity. "I have no idea what he's talking about", one messaged The Daily Beast. "Not trade, climate change, refugees, North Korea, Syria ...they're talking about JOHN PODESTA?!?".