Several Internet sources refer to this 'fact' – particularly the bit about Castro – but it sounds suspiciously like an urban myth to me. I've tried to substantiate it, but with inconclusive results.
The best clue I could find came from the website of the Mises Institute, which describes itself as "the worldwide epicenter of the Austrian economics movement". Its article – published in 2004, and entitled What's Wrong with Monopoly (the game)? – is a serious appraisal of Monopoly as a representation of the market economy. It says:
"A 1985 edition of the game came with a book that noted, 'The anticapitalist world, not surprisingly, disdains the free–wheeling and dealing game. Fidel Castro once ordered all Cuban Monopoly sets destroyed, and the Soviet Union has banned the game.'"
Several of the Internet sources that I referred to above seem to come back to an even earlier article, published in 1992 in the Chicago Tribune. According to this one,
"Monopoly had a strong following in Cuba, but Castro has banned it. He decreed that every set be destroyed."
The Tribune article gives no source for this assertion, but it goes on to describe Monopoly as "the pure embodiment of capitalist accumulation". More than one of the secondary sources quotes (or misquotes) this phrase, seeming to imply that this was how Castro saw the game; but if you read the article, it doesn't even attribute the phrase to Castro himself.
I'm not saying the story is necessarily wrong, but until I read it on the BBC – or at least in Wikipedia (which, last time I looked, had no reference to Castro on its Monopoly page – let alone vice versa) – I shall remain sceptical.
© Haydn Thompson 2017