New Apple Credit Card

Go here - Manage your Apple Card account - Apple Support

Turn transaction notifications on or off

1. Open the Wallet app on your iPhone and tap Apple Card.
2. Tap the more button .
3. Scroll down to Transactions.
4. Tap Allow Notifications to receive notifications on your Apple Card account. Tap again to turn notifications off.

To turn off all alerts and notifications for Wallet, follow these steps:

1. Open Settings on your iPhone.
2. Tap Notifications, then tap Wallet.
3. Tap Allow Notifications to turn off all notifications.