His interview follows an event in London on Thursday night hosted by The Times, in which Freeman told the audience: "I think we need a new energy, new direction, a new generation leader to take this forward, backed up by the talent that we've got".
It came after Mr Johnson claimed that some elements of the Brexit talks, including the so-called Irish backstop, had wrapped a "suicide vest" around the British constitution with the detonator held in Brussels.
At a conference in the Alpine lake resort of Bled in northwestern Slovenia, Michel Barnier said a Brexit deal was "not far" and that some 80 per cent of the withdrawal agreement had been agreed.
The toxic atmosphere between the two wings of the Conservative Party was vividly illustrated in the reaction to Mr Johnson's incendiary Mail on Sunday column.
Lord Heseltine, who served as Defence Secretary in the Thatcher Cabinet, predicted earlier this week Mr Johnson would succeed Mrs May but his premiership would divide the Conservative Party.
Sir Alan Duncan, Johnson's former deputy at the Foreign Office, said: "This marks one of the most disgusting moments in modern British politics. If it isn't now, I will make sure it is later".
When negotiating, the prime minister needs to demonstrate her intent and also her power to deliver, Mr Baker told the Press Association.
European Commission head Jean-Claude Juncker said the EU will not allow Britain to participate only in some parts of the bloc's single market after Brexit without honouring all of the rules.
Across the Commons, Labour too faces a split over Brexit strategy, with Jeremy Corbyn under pressure to commit to supporting a second referendum.
In choppy trading in recent days, sterling had hit five-week highs of $1.3087 on renewed hopes of a speedy Brexit deal with Brussels.
TUC general secretary Frances O'Grady said: "Whether it's through a general election or a popular vote, Mrs May should take her deal on the terms of Brexit and put it back to the people".
Theresa May brought a crack team to Chequers to arrange the framework for the UK's relationship with the European Union after we leave.
Hammond said that "if we leave the European Union without a deal. we could expect a period when there would be some turbulence".
He told talkRADIO's Julia Hartley-Brewer: "I think that something I admire about Boris Johnson, and something that gives him huge swathes of support across the country, is the fact that Boris calls it as he sees it and people find that refreshing".