Printing issue

Let's start with have you tried any of the following:

• Contacted HP Support to see if they have an updated print driver/software for this printer to work with the latest version of macOS Big Sur? Ref: Set up your HP Printer - HP
• Removed, and then, reinstalled this printer in System Preferences?
• Reset the Mac's printing system? System Preferences > Printers & Scanners. Then right-click on this printer, and then, select "Reset printing system" Note: This not only resets and removes all printers, but it will also reset and remove all scanners and faxes from the Mac as well.

Ref:

• Solve printing problems on Mac - Apple Support
• Why have my HP printers stopped working? How to check their software signatures - The Eclectic Light Company

This message would mean that you don't have Administrator rights. Are you the only one using this Mac? If so, your user account should have these rights already. You can double-check by going to System Preferences > Users & Groups. Then select your user account. If it has administrator rights, there should be a checkmark next to "Allow user to administer this computer."

If it is already enabled, then I'm afraid I'm out of options for you to try.

To rule out any issues with your wireless network, have you tried rebooting your wireless router/gateway yet? Is it also possible to connect both devices to your local network by Ethernet ... at least, the printer?

If the firmware update doesn't help your situation download and try the demo version of VueScan.

Hmm, in my case, my HP is connected by Ethernet to my local network, as well as, the Mac ... which is running macOS Big Sur 11.5.2, as well. I don't use the HP Scan app, but the method via System Preferences works without any issues for me.

How are your two devices (Mac & HP) interconnected? Do you use a software firewall or any AV apps on your Mac?

Ok, thanks for trying.

Well, at this point, it could still be a network issue. This is where it will get a bit tricky. However, before venturing there, can your Mac print to this printer without any issues ... just not scan to it using System Preferences's Scan tab?

Alternatively, instead of using HP Smart, have you simply tried requesting scan jobs through System Preferences > Printers & Scanners > Scan tab?

Here is a screenshot for my HP OfficeJet in System Preferences:

Selecting "Open Scanner..." opens up another window with a number of scanning options to choose from.

Unless you installed or configured either of those recently, then most likely, those won't be an issue.

Again, how do you have each of these connected? Are both of them directly connected to your local network, or do you have the HP connected to your Mac by USB?

You're very welcome! I'm sorry I couldn't get this working for you. I would second Old Toad's suggestion on trying VueScan in the mean time. Looks interesting enough for me to give it a go myself. (Thanks, @Old Toad)