The Tory MP for Clwyd West said there was “no reason” why Britain could not secure an arrangement similar to the one between the EU and Canada.
Speaking to Express.co.uk, the Brexiteer said Britain had “complete alignment” with Brussels when it came to regulations and standards.
He said: “There is no reason why we can’t strike the sort of free trade agreement the third countries have got with the EU, for example, Canada has got a very broad free trade agreement.
“And we’re in a very powerful position at the moment because we’re already members of the EU, we have complete alignment of regulations and standards and therefore we start from a very sweet spot.
“And we should take advantage of that to put together a very good free trade agreement which is what I hope that we will get because I think it’s not only in our interests, it’s in the interests of the European Union as well because when we’ve left, we will be their biggest export market.”
However, he did say any Brexit deal that would allow the European Court of Justice jurisdiction in the UK would be “unacceptable”.
Mr Jones argued that while some issues could be sacrificed in negotiations – the issue of parliamentary sovereignty must be absolute.
He said: “Anything that does not give us complete independence from the European Union, I think would be generally unacceptable to the British people.
“I think most importantly the role of the European Court of Justice because that, at the moment, is the supreme legal authority in the European Union.
“It is extremely powerful, it has in the past overturned provisions made by this parliament in acts that we’ve passed.”
The comments come after rebels within Theresa May’s cabinet were urged to resign if they could not adhere to the guidelines for Brexit set out by Theresa May during her Lancaster House speech in January.
The Prime Minister had said: “While I am sure a positive agreement can be reached – I am equally clear that no deal for Britain is better than a bad deal for Britain.”
Richard Tice, co-chairman of Brexit campaign group Leave Means Leave, said reported conflict within Government was now “damaging” the UK’s negotiating position.
He told talkRADIO: “The Prime Minister was crystal clear back in January in the Lancaster House speech.
“And frankly if there are cabinet members who don’t agree with her then rather than carping from the sidelines or taking advantage of the Prime Minister’s holiday, they should resign and go back to the backbenches.”
August 13th, 2017: Express