Raab took over as minister in charge of Brexit negotiations on Monday, a day after his predecessor David Davis resigned over his disagreement with May's plans to negotiate a "common rulebook for all goods" in a combined customs territory.
The news of the interview broke in tweets from a Sun reporter while Mr. Trump was at a gala with May to commemorate his visit.
There is one person in Britain that Mr Trump is a fan of - Her Majesty, the Queen.
While accepting that financial services will take a hit after Brexit and not enjoy the same levels of market access as now, the White Paper points out that Britain will reserve the right to diverge from European Union financial regulation after Brexit while still observing global worldwide standards.
Ms May made a direct pitch for a trade deal with Washington, praising the friendship between the two allies, glossing over Mr Trump's previous remarks that Britain was a "hot spot" in turmoil over Brexit.
Trump came down firmly on the side of the Brexiteers.
"This will be a hard negotiation; and I don't necessarily think that because the British position has become more credible that that's necessarily the final picture".
The British government has published its highly anticipated Brexit white paper, which lays out its proposal for what a split with the European Union could look like.
"The deal she is striking is a much different deal than the one the people voted on", he said. It was agreed by her Cabinet only last Friday after two years of wrangling since Britons voted to leave the bloc in the referendum.
"I have a lot of respect for Boris". "That is exactly what we will do".
Demonstrators lined the streets outside Blenheim Palace in Oxfordshire where the President and First Lady attended the black-tie dinner.
May and Trump are scheduled to hold talks and a joint news conference on Friday.
The British government published its long-awaited Brexit blueprint on Thursday that it hopes will restart talks with the European Union, but its launch was mired in farce after a protest by MPs briefly suspended a sitting of the House of Commons.
Britain is now part of the EU's single market - which allows for the frictionless flow of goods and services among the 28 member states - and its tariff-free customs union for goods.
The proposal, published in a White Paper, form part of Britain's negotiating position with Brussels over future trading relations. I think you are losing your culture.
It says the new arrangement will give each party autonomy over decisions regarding access to its market, but encompass a broader range of cross-border activities that reflect global financial business models and the high degree of economic integration.
May's plan would commit the United Kingdom to coordinating many aspects of trade policy with the European Union leadership in Brussels - a gesture aimed at keeping Britain within the EU's customs union (and thus, to save London's status as the financial capital of Europe, while preventing a broader series of economic calamities inherent to the United Kingdom losing privileged access to the common market).
At its heart is a proposal for a new U.K. -EU "free trade area", with interlinked customs regimes, and identical regulations for industrial goods and agri-food. Pro-Brexit Conservative lawmaker Jacob Rees-Mogg colorfully described the plan as "the greatest vassalage since King John paid homage to Phillip II at Le Goulet in 1200".