The phrase "are on one's case" is an idiom that means someone is criticizing or nagging constantly. The opposite or antonym of this phrase could be "giving space" or "granting independence." When someone is giving space, they are allowing the person to have their own personal time or freedom without any judgement or criticism. Another antonym for "are on one's case" could be "providing support." If someone is providing support, they are understanding and empathetic towards the person and helping them achieve their goals in a positive and helpful manner. Instead of criticizing, they motivate and encourage.