They believe the publicly-owned facility should not be available to Trump, whose US Muslim travel ban has been heavily criticised around the world, but the Scottish Government said ministers do not intervene on how the airport is run.
The president's visit comes after his participation in the North Atlantic Treaty Organisation summit in Brussels, Belgium.
President Trump is said to have given a "positive" and "complimentary" speech about England as he addressed US Embassy workers within hours of his arrival in the UK.
President Trump said the British people "voted to break it up, so I imagine that " s what they " ll do" and "Brexit is Brexit".
Talks with Prime Minister Theresa May, a meeting with Queen Elizabeth II and a trip to Scotland all made Trump's schedule for his three-day United Kingdom visit beginning Friday. "They agree with me on immigration".
President Trump will head to London on Friday, where he's expected to face protests at every turn.
A high fence has been erected around the USA ambassador's central London residence where Trump will spend Thursday night and the embassy has sent out an alert warning Americans in London to keep a low profile in case protests turn violent.
More are planned for the second day of Mr Trump's visit. London Mayor Sadiq Khan - who has had a particularly contentious relationship with President Trump - approved protesters' use of a "Trump baby" blimp during the president's visit to Great Britain.
At the same time, Trump will be touring a defense site with May outside of London. He added: "I think that's why Brexit happened".
President Donald Trump and his wife, Melania, are being greeted with pomp and circumstance, along with protesters, as he arrives at spectacular Blenheim Palace for a gala dinner.
Asked about his father's visit and US-UK relations, he said: "He has worked here for so many years, he knows so many people".
"It's important for us to send a powerful signal to those who are resisting and campaigning in America that we are standing in solidarity with them", Rehman said.
Prime Minister May office said that she expected Donald Trump to discuss with President Putin issues like the Salisbury nerve agent attack on former spy Sergei Skripal and his daughter Yulia.
The two leaders will hold talks the following day at Chequers, the 16th-century manor house which is the prime minister's official country residence which will focus on Russian Federation, trade, Brexit and Middle East.
On Friday he'll meet Theresa May at the prime minister's country house, Chequers - and he'll meet the Queen at Windsor Castle while protests take place in London.