טיפול בגוי בשבת

According to the rulings of the great posqim, the obligation to treat a gentile on Shabbat is, in practice, the same as the obligation to treat a Jew, whether he is a holeh she-yesh bo sakkana or a holeh she-ein bo sakkana.

Regarding the halakhot for a physician on Shabbat and the distinctions between the holeh she-yesh bo sakkana and the holeh she-ein bo sakkana, please see the Comprehensive Guide to Medical Halacha by A. S. Abraham, which covers all the halakhot pertaining to illness, disability, treatment, medical innovations and procedures, and more.