Is it permissible to eat the slaughtered animals of the People of the Book who do not mention God's name when slaughtering, given the availability of halal meat and the argument of some Muslims regarding the permissibility of their food in Surat Al-Ma'idah?

The omission of the naming of Allah over a sacrifice by a person of the Scripture does not prevent its consumption unless the omission was intentional. This is the view of the majority of scholars. According to Imam Al-Shafi'i, their sacrifice is permissible even if they intentionally omit the naming, because for him, the naming is merely sunnah (definition) (recommended).

Given that it is difficult to ascertain whether the naming was performed on the sacrifices of people of the Scripture today, verifying this would entail hardship and difficulty, both of which are removed from the Ummah. Therefore, their sacrifices may be consumed even if it is unknown whether they pronounced the name of Allah over them or not. However, consuming the sacrifices of Muslims, if available, is more cautious and purer.