Word for the sheets replacing room doors in East Asian countries
Solution 1:
The generic American English terms are "door curtains" and "room-divider curtains," even though the word "curtain" usually refers to suspended fabric panels that cover windows or the stage of a theater.
Solution 2:
You may be thinking of the colloquial "screen" which is more often used to describe dividers between rooms made with a wooden frame covered in paper. These sometimes are permanent and sometimes hang from a track in the ceiling allowing for provisional room divisions.