Lost connection of printer to MacBook Air

Hi,

Any information about the printer make and model?

Since you can print from an iPhone, I guess that the printer is an AirPrint-enabled model (list in About AirPrint - Apple Support). If there is a problem with AirPrint device discovery, you could try the following procedure (do not forget the router):

Power off the Wi-Fi router, the printer, the Mac, the iPhone, and all other connected devices/computers. Wait two to three minutes. Power on the router. Wait two to three minutes. Power on the printer. Wait a minute or two. Power on the Mac. Power on the iPhone. Finally, power on all other devices/computers.

If necessary, reset the printing system on the Mac and re-add the printer:

Reset the printing system on your Mac to solve a problem – Apple Support (UK)

Add a printer to your printer list so you can use it on Mac – Apple Support (UK)

Thank you for the information.

Yes, the HP OfficeJet 5258 All-In-One Printer is listed in About AirPrint - Apple Support as a model supported by the driverless AirPrint technology. This means that the printer is compatible with macOS. It should be possible to use the computer without additional drivers, provided that the printer and the Mac computer are connected to the same network (Wi-Fi router). The iPhone can be used without an extra app if it is connected to that same Wi-Fi network.

Which exact macOS version is running after the update, and which version was used earlier?

AirPrint as such should work without additional software, but some HP printers may need an HP Smart app for setup and ink management. Are you using HP Smart on the Mac or the iPhone?

Device detection/discovery issues may in fact be related to the Wi-Fi router. Have you tried the power-cycle sequence in my previous message? Also, have you tried resetting the printing system on the Mac according to the previously mentioned article?