Descrizione originale come Cichlasoma (Parapetenia) grammodes:
- Taylor, Jeffrey & Robert Rush Miller. 1980. "Two new cichlid fishes, genus Cichlasoma, from Chiapas, Mexico". Occasional Papers of the Museum of Zoology, University of Michigan. (n. 693), pp. 16 (crc00249)
Conservazione: Chiapaheros grammodes è valutata dalle organizzazioni internazionali di salvaguardia delle specie a rischio come (VU) Vulnerabile (2019). The rivers in area of distribution of Chiapaheros grammodes are to our days in good ecological shape, although the impact of the huge Angostura hydroelectric dam which covers most of the extension of the distribution of C. grammodes on its population have not been evaluated to date. The potential impact of the alleged introduction of lower Grijalva cichlid species into the area of distribution of Chiapaheros grammodes, provided it is true, would also have to be evaluated.