It's said that some British people also like Japanese-style rooms.

Literal

Japanese-room [subject-が] liked British-people [also-も] exist [quotative-と] is-said.

和室 (わしつ, 'Japanese-style room' with tatami, fusuma, etc.) is a cultural concept. ~と言われます is the polite passive hearsay form. も after 英国人 marks surprise: 'even British people.'