Vaughan, commentating on BBC Radio’s Test Match Special, then in turn responded on Saturday by reminding Broad his comments “may come back to bite him” and that England had not yet won at Headingley.
Broad has now had a further say in his column for Britain’s Mail on Sunday newspaper.
Significantly, however, he chose to refer to Vaughan, his first England captain, not by the former Yorkshire batsman’s name but merely as “a pundit”.
“It’s fair to say it’s been an interesting week for me and the team — on and off the field,” Broad wrote.
“I spoke to the press after play on Friday night and was asked about the views of a pundit who had criticised me.
“Fair enough, everyone is entitled to their opinion, but surely that also means players have the right to respond to comments made about them?”,” he added.