The phrase "twisting arm" suggests a forceful act of bending or turning a limb or joint. Antonyms for this phrase could include "gentle persuasion," "friendly negotiation," or "mutual agreement." These terms connote a more positive and collaborative approach, as opposed to one that involves coercion or manipulation. Other antonyms might include "honor," "respect," or "dignity," indicating a willingness to honor someone's wishes or values without resorting to force. Ultimately, the choice of antonyms will depend on the context and tone of the message, as well as the speaker's intent and the audience's expectations.