Teaching and Sayings
The synaxarion preserves two anecdotes attributed to Achilles. In the first, he encountered Abba Isaiah, who was consuming palm leaves mixed with salt and water on account of an intense, heat-induced thirst. Achilles used the occasion to instruct other monks on maintaining strict dietary discipline, warning them not to imitate such a lapse even under duress.
In the second, when Achilles was grieved by a brother's words, he prayed that God would remove from him the remembrance of that word, and ultimately attained interior peace through this practice. The synaxarion presents the episode as an illustration of his teaching on non-remembrance of wrongs.
These accounts follow the form of the chriae found throughout the Apophthegmata Patrum: brief teaching encounters between an elder and a visitor or disciple.