Can I transfer my cash balance of old Apple Card to a new one?

I presume this is like a standard credit card where typically you never have cash balance because they are credit cards, not debit cards. Even if there is a balance it is in the account itself and the cards are always asociated with the same account even though the numbers may change.

What Apple Card are you referring to? Apple Gift Card, Apple Card Mastercard, Apple Cash card (virtual card), or Apple Account card (another virtual card)?

I presumed the OP meant an Apple Card (vs. an Apple card) when the OP said, "Apple Card". ;-)

I’m thinking OP got a new gift card but still has funds on his old gift card and wants to merge them. Hopefully he’ll reply.