The owner of the Independent is looking for someone to take on the newspaper, but tells ITV News he is yet to receive a single offer.
Newspapers have vowed to fight against the Royal Charter into press regulation, agreed by political parties, granted by the Queen.
Press proposals for a Royal Charter to establish a new system of self-regulation have been rejected, the Culture Secretary has announced.
Former Daily Mirror editor Piers Morgan has described the new Royal Charter on press regulation as "a complete and utter farce," saying he believes it will make "absolutely no difference."
He told BBC Radio 4's Today programme: "We are apparently heading down this extraordinary route where politicians are going to be dictating - along with Hugh Grant and Steve Coogan, those great moral bastions from the world of entertainment - what newspapers can and can't print.
"I would point out that Britain has some of the most draconian laws, both civil and criminal, against newspapers, journalists and editors anywhere in the world. The idea you now need more is ridiculous."
The Daily Mail has condemned the latest developments on press regulation as a "judicial farce".
In a leader article the newspaper said:
So much for the home of justice, transparency and due process of law.
With the press overwhelmingly opposed to recognising the new regulator, who knows that will happen next?
All that's certain is that yesterday's judicial farce (which many will be forgiven for thinking was an establishment stitch-up) has deeply worrying implications for free expression and democracy.
The Times said the argument over the Royal Charter will now be taken to the Court of Appeal following the "shambles to which the regulation of the British press descended".
The newspaper said in a leader article (£): "Now all British national and regional publishers will press ahead with setting up their own regulator and will not seek recognition from this flawed Royal Charter.
"There is now the prospect that press regulation will become a Mexican stand-off in which no authority is recognised.
"Or that two parallel systems will run, one with the imprimatur of the Royal Charter and one without.
"Either way, it is a mess entirely of the making of a political class that seeks control of an unruly press."
The editor of the Daily Telegraph, Tony Gallagher, expressed his dismay with the government going ahead and getting the Queen to grant a Royal Charter for press regulation.
Writing on Twitter, he said there was "zero" chance his newspaper would be signing up.
Well done everyone involved in the Royal Charter. Chances of us signing up for state interference: zero. Our leader article will follow...
Deputy Prime Minister Nick Clegg attended a special Privy Council meeting inside Buckingham Palace this evening to get royal assent for the Royal Charter for press regulation.
– A spokesman for the department of Culture, Media and Sport
Acting on the advice of the Government, the Privy Council has granted the Cross Party Royal Charter.
Both the industry and the Government agree independent self-regulation of the press is the way forward and that a Royal Charter is the best framework. The question that remains is how it will work in practice; we will continue to work with the Industry, as we always have.
A Royal Charter will protect freedom of the press whilst offering real redress when mistakes are made. Importantly, it is the best way of resisting full statutory regulation that others have tried to impose.
A new Royal Charter governing the regulation of the press has been granted by the Queen, a government source has said.
Further changes have been made to the royal charter on press regulation agreed between the main three political parties, including a measure aimed at limiting Parliament's ability to alter it in the future.
A government source said the changes were designed to address press concerns about political meddling.
- Under the new version, any change will require a two-thirds majority in each of the Houses of Parliament, as well as the unanimous agreement of the board of the recognition panel
The source said the recognition panel will have industry representation on it, though it will exclude serving and former editors.
Now not only do you need a two-thirds majority of both Houses, you also need the agreement of the recognition panel.
This is an independent body appointed by the Public Appointments Commission, which will have industry representation on it.