Is a person's statement, when asked about their qualities, "I am not arrogant, and I wish for others what I wish for myself," considered self-praise, and what is the interpretation of the Noble Verse: (So do not attest to your own purity; He is most knowing of who is righteous) in this context?

The Sharia (definition) stipulates a prohibition against self-praise and self-commendation. The default rule for mentioning one's virtues and praising oneself is prohibition or disapproval (makruh (definition)). However, it is permissible in situations of necessity and for a legitimate Sharia interest, such as when it involves enjoining good or forbidding evil, or when seeking a legitimate position of authority, or to repel harm. The intention behind such praise must be to remind of a religious benefit or to clarify one's eligibility and ability to perform tasks. Self-praise is not permissible for the purpose of boasting and arrogance.