Counterstatement is a term that generally means a statement that opposes or contradicts another statement. So, in the context of antonyms for counterstatement, we can think of words like agreement, affirmation, concession, and acceptance, which all connote a sense of agreement and acknowledgment rather than opposition. Another set of antonyms could be disagreement or conflict, disagreement being a more general term to describe a difference of opinion, while conflict suggests a more overtly hostile or confrontational tone. Synonyms for counterstatement could include contradiction, rebuttal, or negation, and antonyms would be those words that are more conciliatory or agreeable in tone.