But the Green Party leader of England and Wales said sanctions were the “least we could do” as he accused Trump of wielding too much power over the North Atlantic Treaty Organisation (NATO), the military alliance between 30 European nations and the US and Canada.
The US President threatened to take control of Greenland, a self-autonomous Danish territory, earlier this year.
But with Denmark as a member of NATO, any such intervention from the US would breach the alliance.
Speaking in Glasgow, Mr Polanski also condemned the US President’s actions in Iran, after he threatened to wipe out an entire civilisation.
Addressing Trump Turnberry and the Trump International Links golf courses, the Green Party leader called for “community ownership”.
Sarah Malone, executive vice president of Trump International, Scotland, said the comments were “frankly ludicrous”.
The Herald asked whether his stance on NATO membership was the same as the Scottish Greens, who want Scotland removed from the alliance.
He signalled his concerns centred around the US.
“Donald Trump, who has a massive amount of disproportionate power in NATO, has said that he wants to annex Greenland, something the Danish prime minister has said that they think he absolutely intends to do,” he said.
“And no one who even backs Nato has ever been able to give a coherent answer about what happens when one NATO country starts to attack another NATO country because an attack on all.”
He added: “My position would be to build closer alliances with our European neighbours I think we need to build better relationships with them.
“This idea that Donald Trump and the United States, we have a special relationship with them or they’re in some way, our ally, I just don’t think that stands up to any scrutiny.
“By the way, it’s not just Donald Trump. I think there’s been problematic presidents for a long time but I think Donald Trump is the clearest indication you can get when he goes out on Truth Social one day and says that he intends to wipe out an entire civilisation.
“And then we don’t get a word of condemnation from that from our Prime Minister on the same day, yet he can post about Wireless Festival. It starts to seem a little bit odd of a relationship.
“So, my personal position is to build that better relationship right now and then when the time is right, once we’ve build an alternative alliance, to withdraw from [NATO] later.”
Asked whether his stance on NATO was more about distancing the UK from President Trump, he said: “It’s not for me to tell Scotland what to do. But I’d really like to see Donald Trump kicked out of his golf courses.
“I don’t think you should be able to start illegal and unpopular wars and still have golf courses and actually, I’d love to see those golf courses brought into community ownership.”
He added: “It seems outrageous that Donald Trump is still able to enjoy those golf courses.”
Mr Polanski added: “We’ve talked for a long time about sanctions the UK Government should be putting on Israel and frankly I think there is places where we should be sanctioning Donald Trump, where it’s possible, and I think very likely he is committing war crimes.
“And I think removing him from the golf course feels like the very least we could do.”
Ms Malone, speaking on behalf of Trump International in Scotland, said: : “The comments in relation to our golf courses in Scotland are frankly ludicrous and ignorant and made by a man who is an imbecile.”
Earlier this month, the US President wrote on social media: “A whole civilisation will die tonight, never to be brought back again.”
President Trump faces fresh controversy after stating the US was considering reviewing the UK’s claim to the Falkland Islands over its lack of support for the Iran war.
Downing Street responded that “sovereignty rests with us” after a US official floated the idea of reassessing Washington’s diplomatic support for European “imperial possessions”, including the Falklands.