Is it permissible for one to imagine and argue with their angry father after a dispute in order to calm down?

If it is merely imagination without actual speech, then there is no sin in it, according to the Prophet's (peace be upon him) saying: "Indeed, Allah has pardoned for my nation what they whisper to themselves, as long as they do not act upon it or speak of it." However, if the speech is vocalized, then there is accountability for it, unless it is free from prohibitions. A Muslim should not indulge in unbeneficial thoughts. It is better to turn away from this matter and to frequently remember Allah and supplicate to Him.