"Being tied to European Union regulations and the European Union tying our hands when seeking to make new trade agreements will be the worst of all worlds", wrote the Mansfield MP, who voted remain in a constituency where more than 70 per cent of voters opted to leave.
May said she had chaired a "productive" meeting of her government, unswayed by the resignations of Foreign Secretary Boris Johnson and Brexit negotiator David Davis that rocked the government on Monday.
Under Conservative Party rules, a confidence vote in a leader can be triggered if 48 Conservative lawmakers write a letter requesting one.
He says "I like Theresa May, I think she's a good prime minister".
British Prime Minister Theresa May won support from many of her ministers, including a leading eurosceptic, on Tuesday after two top cabinet members quit saying her Brexit plan was too half-hearted.
Other industry experts were quick to voice their concerns about the sheer number of housing ministers.
They were announced less than an hour before Mrs May was due to face the press alongside German Chancellor Angela Merkel at an global summit in London.
Britain on Wednesday geared up for the arrival of Donald Trump just hours after the US president waded into the Brexit crisis gripping Prime Minister Theresa May's government and portrayed the closest USA ally in Europe as a country in turmoil. Three junior ministers also quit their posts.
Stewart Jackson, former special adviser to Mr Davis, said No 10 had blocked his reappointment in the role under new Brexit Secretary Dominic Raab. Pro-Europeans want to retain close economic ties with the bloc and its market of 500 million people, while some, but not all, Brexit supporters want a clean break to make it possible to strike new trade deals around the world.
Responding to Mrs May's Brexit statement to the Commons, he said: "The future of jobs and investment are now at stake".
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After months of trying to find a Brexit position that all wings of the Conservative Party could agree on, May seems to have given up, and gone for something that at least 20 - and probably more - of her lawmakers are likely to vote against.
"Now is the time to rally behind the Prime Minister and give her our full and total support".
Without a majority in Parliament, she needs Labour either to vote with her or abstain, something the party is clear that it won't do.
The former Foreign Secretary says May is destroying Britain's "Brexit dream".
"Now there is chaos", it said in its editorial.
The President of the European Council is one Donald Tusk. "Brexit must and will happen".
"In his resignation letter, Davis said the "'common rule book policy hands control of large swathes of our economy to the European Union and is certainly not returning control of our laws in any real sense".
The outgoing minister said Theresa May's government had gone further than it should have in the negotiations, adopting a "dangerous strategy".
"But I come back to this point, if people don't like this proposal what is their alternative?" "What she said, I think the most striking remark was "to lead is to decide". "But remember, what are the options in front of us?"