I would say ‘chauvinistic’ rather than racist.

The word “civilized” essentially just means “people who act in a way I deem morally good.” What ‘morally good’ means is 100% subjective to the individual saying it. Since personal morals are so heavily influenced by the culture and society one was raised in, the term ‘civilized’ is almost necessarily going to be used to justify why one’s own culture is necessarily better than another.

This isn’t necessarily racist, but since modern western society is so heavily based on white supremacy, it’s inherently going to be racist when used by someone supporting western society. But it can also be used in other contexts in a non-racist way. But it’s always going to be chauvinistic.