Cannot update AirPod pros firmware

"Firmware updates are delivered periodically while your AirPods are charging and in Bluetooth range of your iPhone, iPad, or Mac." - From: About firmware updates for AirPods - Apple Support

"When an update is available for the AirPods, they are automatically updated when paired to an iPhone running the latest software version. The update is not something that can be done manually." - From a May 2021 post by a Community Specialist My AirPods do not update - Apple Community

Read the support article About firmware updates for AirPods - Apple Support for tips about ensuring your Airpods can receive any updates. Try leaving them plugged in overnight near your iPhone.

If you still have questions or problems:, refer to this document for ways to contact Apple --> Choose your country or region - Official Apple Support Select your country (also look for "other" regions), then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

Alternatively, contact Apple for support and service by telephone --> Contact Apple for support and service - Apple Support

I would not automatically assume that your Airpods are fake if they are not updating, but fake Airpods will not receive updates from Apple. Enter the serial number in this link --> Check Your Service and Support Coverage - Apple Support Does it find them? If yes then at least the serial number is real, but fake copies might have real serial numbers that will, of course, be reported as valid. If you take them to Apple they can tell the difference. The bottom line is the only real way to be sure Airpods are not fake is to only buy them from Apple or an Apple Authorized retailer. --> Find Locations

You are setting things up so they can?

Is there the possibility they are fake?

Have you asked Apple for other possible reasons?