Hi, here are the steps as stated in an Apple Support article,
Choose account preferences
Apple Card account notifications are turned on by default. You can choose your preferences in the Wallet app on your iPhone.
If you turn off notifications, you will miss important alerts, such as spending summaries and payment reminders. Apple recommends that you keep your account notifications turned on.
Turn transaction notifications on or off
- Open the Wallet app on your iPhone and tap Apple Card.
- Tap the more button .
- Scroll down to Transactions.
- 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 the Wallet app, follow these steps:
- Open Settings on your iPhone.
- Tap Notifications, then tap Wallet.
- Tap Allow Notifications to turn off all notifications.
Here is a link to the entire article on managing your Apple Card,
https://support.apple.com/en-us/HT209228
I hope this helps. Please post back if you have additional questions or issues.