It comes after reports suggested Alastair was asked to step down from his role after an exchange on the micro-blogging site.
It has been reported he used a Shakespearean quotation from Measure to Measure during a spat about the monarchy with Martin in which the statement referenced “an angry ape”.
The veteran broadcaster has since said in a statement: “It was a misjudgement which I regret but it’s been a privilege to bring the news to households throughout the UK for the past 40 years.”
Michael Jeremy, Director of News and Current Affairs at ITV has said: “Alastair has been a long-standing, familiar figure to viewers of ITV News, both reporting and presenting with distinction. We wish him the very best for the future.”