Antonyms for the phrase "eat one's words" would include words like "staying true," "holding firm," "backing up," and "remaining steadfast." These antonyms revolve around the idea of sticking to one's beliefs, opinions, or promises without compromising them or going back on one's word. Eating one's words usually implies having to admit that one was wrong or retract a statement or promise made earlier. Therefore, antonyms for this phrase would encompass the concept of staying true to one's word and not being forced to backtrack on one's beliefs or commitments due to external factors.