actually, we recommend that it is best to apply for a supplementary card for parents' credit cards.
as far as your situation is concerned, first of all, there must be a signature on the back of the card. Foreign merchants (such as supermarkets) will check the signature, which is very serious, but generally they will not check the passport information. Of course, if you use it, you'd better sign it on the back, so that the comparison will be easier. Generally speaking, signing Chinese, Lian Bi is the best, and it is not easy to be imitated. The signature of a foreigner is that the more grass the better. However, in some places (for example, when we signed a mobile phone contract), we will ask for my credit card, which means we will check whether the name on the card is consistent with the name on your passport. Of course, this is rare.