He also cautioned Scotland against holding a second vote on independence.
Mr Trump also voiced concern about whether a second Scottish independence referendum could have an impact on the British Open golf championship.
The president then noted that "they'd no longer have the British Open" golf championship, saying: "Scotland".
With characteristic rhetorical flourish, he continued: "Scotland".
"Scotland. Keep it in Scotland", he added.
Mr Trump confirmed he would be seeking a cross-sector deal.
Trump said the "very all-in" deal will involve greater trade in such sectors as financial services and agriculture. The President is a huge golf fan, spending over 20 per cent of his time as President on golf properties that he owns, although White House staff have pointed out that he doesn't always play golf while spending time at the clubs.
Figures from the pro-independence Scottish National Party told BuzzFeed News they were confident that, rather than harming their cause, Trump's comments will boost support for independence due to his unpopularity in Scotland.
Trump: Is Scotland going to go for the vote, by the way?
Mourne Mountain rescue: 70 people in difficulty in bad weather
A major medical emergency was declared just before lunchtime after a group of around 70 walkers got caught up in torrential rain. He described the weather as "atrocious" today and said that it is understandable that the youngsters got into trouble.
"It's the only competition where you see a difference in numbers and I am hopeful that people stick around and come to the town to eat and drink". It would be awful.
It was not immediately clear what "hell" he was referring to. He said he couldn't go into details but raised some unclear semantic issues, which may or may not have related to Britain's place on the world stage.
Pro-independence Scots have reacted with delight after Donald Trump said Scotland leaving the United Kingdom would be "terrible", confident that the U.S. president's opposition will be a huge boost to their cause.
"I can say that we're going to be very involved with the UK". The full transcript of the interview was leaked to Politico last night.
"I have a very good relationship with the European Union people and all, but they are very, very protectionist".
He tweeted that his administration was "working on a major trade deal".
Asked when it might happen he replied: "As soon as it's appropriate to have it kick in, absolutely".
Critics are likely to perceive any deal as a reheating of the controversial and potentially dead-in-the-water TTIP, which they claim is an effective declaration of war by the United States on environmental protection, workers' rights and public services, and allows major USA businesses to sue governments in secret tribunals for taking unfavorable policy decisions.
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