Antonyms for the phrase "claiming damages" could be "receiving no compensation," "accepting responsibility," or "forgiving the offense." In some cases, individuals or companies may choose to forgo a claim for damages to avoid lengthy legal processes or negative publicity. This could be seen as an act of acceptance of responsibility or forgiveness, rather than seeking retribution. Additionally, if a party is found not to be responsible for damages, the claimant would receive no compensation. Ultimately, the opposite of claiming damages is choosing to prioritize resolution and moving forward without seeking financial restitution.