The phrase "be on one's case" refers to the act of persistently criticizing, nagging, or finding fault with someone. The antonyms for this phrase would be to leave someone alone, let someone be, or give someone space. These antonyms suggest the opposite approach to the person's behavior and indicate a desire to refrain from interfering with their actions or decisions. Other antonyms could include offering support, being sympathetic, or giving someone a break. These alternatives portray a more positive and encouraging approach, as opposed to the critical and nagging tone that "be on one's case" implies.