The antonyms for "give bad press" can be described in a variety of ways. One of the most common antonyms for this phrase is "give good press," which means to report positive news and promote a positive image of a person, business, or organization. Other antonyms for "give bad press" include "praise," "commend," "laud," and "applaud," all of which relate to expressing positive opinions or comments. Alternatively, one could use the phrase "ignore" or "dismiss" in relation to a topic or individual, meaning to avoid drawing attention or criticism to them. Ultimately, the antonyms for "give bad press" center around the concept of promoting positivity and avoiding negativity in the presentation of news and information.