Former UK Independence Party (UKIP) leader Nigel Farage hit out at May on social media.
Anna Soubry, of the breakaway Independent Group, described it in a tweet as the "most dishonest and divisive statement from any Prime Minister".
"But it would be conditional on a positive vote on the Withdrawal Agreement in the House of Commons".
Mrs May told the public in a last-ditch attempt to save her deal: "You just want us to get on with it ad that is what I am determined to do".
If the withdrawal agreement is rejected again, an emergency summit could be called next week to agree a longer extension until at least the end of the year - otherwise Britain's four-decade-year-old European adventure comes to an abrupt end on March 29.
"In case of a no vote (in Parliament).it will guide everybody to a no deal for sure", Macron said, speaking in English.
"You're exhausted of the infighting".
Exhausted of MPs talking about nothing else but Brexit when you have real concerns about our children's schools, our National Health Service, and knife crime.
The British parliament has been deadlocked for months over Brexit, with MPs unable to decide how to implement the referendum result, and voters themselves are also sharply divided.
The Prime Minister, however, has insisted that she will not oversee a long delay, which would increase pressure at home for a general election or for a second Brexit referendum that might reverse the decision to leave.
The vote has left Britain sharply divided
Commons Speaker John Bercow has ruled that the government cannot bring forward proposals for a vote that are substantially the same as those already defeated twice before, but this is not ultimately expected to prevent a third vote if lawmakers want one to happen.
She said the European Union decision underlines "the importance of the House of Commons passing a Brexit deal next week so that we can bring an end to the uncertainty and leave in a smooth and orderly manner". "I sincerely hope that will be with a negotiated deal".
'But I'm not prepared to delay Brexit any further than June 30'.
"What this means in practice is that until that date all options will remain open and the cliff-edge date will be delayed", said Donald Tusk, president of the European Council, which represents EU leaders.
British MPs have hit out at Prime Minister Theresa May after she blamed their "political games" and indecision for the latest Brexit delay.
"We will, despite these measures we have taken, work until the last day - I will say until the last hour - to ensure that this emergency planning doesn't come into effect", she told German lawmakers. "We have intensively moved towards Britain, there can be no more".
Foreign Secretary Jeremy Hunt said Britain would be faced with three options if Mrs May's deal is defeated again next week: revoke Article 50; leave without a deal; or, he said, a longer extension could be granted at an emergency European Union summit, but with "onerous conditions". Mr Umunna said: 'I find it extraordinary behaviour in a national crisis'.
And Liberal Democrat leader Sir Vince Cable said: "Jeremy Corbyn's kinder, gentler politics was found wanting this evening as he stomped out of the meeting with the Prime Minister before it began".
Bringing back her twice rejected deal to Parliament without significant changes while "threatening a no deal outcome ruled out by MPs is unacceptable and reckless", he said.
"We don't want in the coming months and coming years to be busy with Brexit".
Corbyn said he was "looking for alternatives and building a majority in Parliament that can agree on a future constructive economic relationship with the European Union". People's jobs, opportunities and livelihoods are at stake.More news: Hill's Pet Nutrition recalls more dog food over vitamin D levels concern
More news: Erdoğan praises New Zealand PM after row over mosque attacks
More news: US military kills 3 al-Shabab militants during air raid