"听力部分残疾" can be translated as "partially deaf" or "having a partial hearing impairment" in English.
"Partially deaf" is a more straightforward and commonly used expression to describe someone who has some degree of hearing loss but is not completely deaf.
"Having a partial hearing impairment" is a more formal and detailed way to express the same idea, emphasizing that there is an impairment in hearing, but it is not total.
Both expressions are accurate and can be used depending on the context and the level of formality required.