Do some people care of or not happy of "a man" being used as "a person" in some sentence?
Quite a few people now object to the use of male forms as generic forms, including the use of "man" to mean person. Others do not. This was once very common in English us usage. it is now, I believe, considerably less common, but it does still occur.
A better answer would be possible with more specific context, including one or more actual example sentences.