The phrase "not go for" means to not like, approve of, or support something or someone. Some antonyms for this phrase include "approve of," "like," "support," "embrace," "accept," and "welcome." When we say that we don't go for something or someone, it implies a negative perspective or judgement towards them. On the other hand, using the antonyms of "not go for" suggests a positive or favorable perception of whatever or whoever is being discussed. So, for example, if we say we support or embrace an idea or a person, we show a willingness to engage and participate with them in a constructive way.