Can a ger/giyores have his/her non-Jewish parents over and cook them a meal Yom Tov?
Although we are allowed to cook on Yom Tov, it is if the cooking will be for the mitzvah of enjoying Yom Tov. Therefore we may not cook for a gentile, who doesn’t have the mitzva of Yom Tov. In fact, since we might come to cook for them if they are our guest, we should not have them for meals on Yom Tov.
This is not specifically for a ger or giyores, rather for anyone that might have a gentile as a guest on Yom Tov.
Mesechet Beitza 21b, O:CH 512-1