The Tory MP said the Conservative Party should signal to younger generations that Theresa May will deliver a "One Nation Conservative Brexit" to meet the demands of every Briton.
The Prime Minister has been facing increasing pressure from Brexiteers voicing concerns her Chequers proposal will not result in full independence from the European Union.
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Mr Freeman told the Today programme that Mrs May should make clear the final agreement "won't be a Nigel Farage Brexit," to win "the trust of younger people who feel that Brexit is being forced on them".
He said: "We are going to make it a One Nation Conservative Brexit and we are going to shape it and recast it in the spirit of a new generation."
Mr Freeman, a former supporter of the Remain campaign, insisted the British Government should implement the demands of the Brexit referendum but attempt to do so uniting the country.
He continued: "I believe very strongly that the Prime Minister's instincts are right on this.
"We have to implement the people's demand to leave the EU but how and where that leaves the country in the world and the longer-term relationship is an issue that I think should be shaped by, for and in the spirit of a new generation."
The former May advisor on Thursday suggested the Prime Minister get the withdrawal agreement "over the line" before stepping down.