The phrase "bats eyes at" typically suggests someone is flirting or showing interest in another person. However, antonyms for this phrase could include "ignores," "neglects," "avoids," "disregards," or "overlooks." These antonyms carry a different meaning entirely and can indicate a lack of interest or attention towards the person in question. Rather than displaying affection or attraction, these antonyms suggest a sense of indifference or even disdain. While "bats eyes at" may connote positive emotions and behavior, its antonyms often imply the opposite with a negative connotation.