[make] an apology

to express regret, acknowledge wrongdoing, and seek forgiveness from someone for a mistake, offense, or wrongdoing

He realized his mistake and made a heartfelt apology to his friend for his thoughtless comment.
After the argument, she decided to make an apology to her sibling and mend their relationship.
Making a sincere apology is essential to repair trust and rebuild damaged relationships.
Making apologies for the multiple delays, the airline provided compensation to affected passengers.