There can be a problem. But it can be overcome. All groups of students will have some who are insular and only want to hand around friends from their own background. And others who are outgoing and happy to make friends with those from different backgrounds.
Many years ago I went to the LSE as did the first group of Chinese students allowed to study in the UK. Years later I got to know a lovely Chinese woman who was working for her Government and who had been part of that group. We would have been in the same hall, and I said how we had envied their amazing cooking on the two electric rings. She said we should have asked and they would have been delighted to share....but at 18 we never thought of it. Equally they were amazed at the choice on the Hall's one TV set, dominated by football and soaps when we could have been watching news, current affairs and debates. Something they did not have at home and which we did not seem to value. I said they should have asked ..though perhaps not during Match of the Day. No one asked, and no one spoke. We all lost.
A school friend of DDs from mainland China but with about 5 years in UK boarding schools had issues at UCL as he was considered neither British or Chinese. However he was very quiet, which was fine at school where he mixed with other similarly quiet science types, but he needed to make more effort at University. (In fact he continued to hang out with friends from school - so could be accused on being a "public school" type.)
DS went to LSE, and had a large number of Chinese friends and indeed friends from elsewhere. There is a continuum. Plenty from mainland China, who are then divided on their confidence in spoken English, overseas Chinese again perhaps divided into those from Chinese communities in their own countries and those who went to international schools, and then British born Chinese. So one of his friends chose LSE after coming from a small village in Wales where his was the only ethnic minority family. Another had been to Winchester. Yet another was from mainland China, with parents who were academics and who were strongly encouraging/pushing him to pursue an academic career in the West, another was Taiwanese but had gone to a British international school in Thailand, whilst the weekly subject social was organised by a girl from Hong Kong.
He got to know everyone partly through societies. Computer gaming and AnimeManga are pretty international, so group trips to Comecon and strange nights in Camden pubs watching streams of people on the other side of the world play computer games, with trips to China town after. (Tables divided into those who read Chinese so could read the special Chinese menu and the others.) But also through study. If you are very into your subject that is your common ground and it does not matter where you come from. A third was that friends from one of the societies used to invite him to eat with them (note example above) in the group meals they cooked in one of their flats. A room came vacant in that flat, and he was invited to take it.
DS and an LSE friend originally from Hong Kong were back recently as part of their PhD research (there are several LSE grads on his PhD programme. Those I know include one British Born South East Asian, one Dubai born South Asian, and the one from Hong Kong - the four of them being pretty representative of the LSE.) They were talking about the agony of one of their Masters courses where they got to choose an article each week to analyse. Two Chinese students were less confident in their English so always chose articles effectively made up of formulae. Agony for the others. I have similarly heard of problems at Imperial where Chinese students ask questions to Chinese teaching assistants in Mandarin, leaving the others bewildered. That said it was the French who were reputed to be the most cliquey, seeing London as some obscure French city a train ride from home. (This was pre Brexit when the French paid home fees and London was, in terms of the number of French residents, something like the eight largest French city.)
I would recommend somewhere very international. Everyone is in then in the same boat, and plenty will have had pretty international upbringings. A Chinese student is effectively no different to a British student. You either reach out and mix and are sensitive to other's needs, or you stick to your own. BC (before children) I had an international career and regularly bumped into LSE grads. Ditto DS is now studying in the US and has friends at every major campus there with regular meet ups in different places.
And for anyone who has not visited ChinaTown recently, it has been transformed by the wave of Chinese/East Asian students and the popularity of East Asia culture. Its cool to hang out in a bubble tea shop or buy Korean ice cream or Taiwanese dumplings.