Printer not working after new HDD

Mac OS X: About the Reset Printing System feature ...

http://support.apple.com/kb/HT1341?viewlocale=en_US

In System Preferences>Fax & Print, Right click or Control+click on the Printers list Sidebar, choose Reset Printing System.

if you hold option and click the "-" tab it resets the printing system.

http://www.macosxhints.com/article.php?story=20031215144430486

Safe Boot from the HD, (holding Shift key down at bootup).

Any devices that previously appeared in your Printer List and Fax List will need to be added again after resetting the printing system.

Resetting the printing system in Mac OS X

1. To use the Reset Printing System feature in Mac OS X, follow these steps:
2. Choose System Preferences from the Apple menu.
3. Choose Print & Fax from the View menu.
4. Control-click on list of printers on the left side of the window, then choose "Reset printing system" from the contextual menu. If you don't see a list of printers, Control-click on the text "Click + to add a printer or fax" and select "Reset printing system..."   
5. As an alternative, if you currently have one or more printers listed, you can Option-click the "-" (Remove printer) button.

http://support.apple.com/kb/ht1341

Reboot.

Did you upgrade the OS recently?

Are these the drivers you tried?

Support | MG Series - Inkjet | PIXMA MG5620 | Canon USA

Canon Printer Drivers v3.4 for macOS (apple.com)

Canon PIXMA MX870 and macOS Catalina | Desert Moon (dmoonc.com)

Hondamaker10 Said:

"Printer not working after new HDD: The Apple Store installed the latest version of Big Sur after installing the HDD. I didn't try any drivers because Canon's website said there weren't any for Big Sur or Catalina. I'll try the link you shared though."

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Canon is the Culprit:

What you've said in my above-quote tells me that Canon has yet to do their part in this: Create compatible drivers. Important: Do Not get these driver from a driver from a third-party, as they may result in malware or spyware instal. So, wait out the drivers, until Canon releases them, or, in the mean time, use another printer - particular on that is compatible.

Hondamaker10 Said:

"[...]So which printers work reliably with MacOS?"

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What to Use for Reliability:

AirPrint compatible printers. See Here: About AirPrint - Apple Support

Yeah, I imagine Apple changing how everything works so frequently must drive Printer makers crazy, though I think Canon lags behind most... I'll never have another Canon Product myself.

I mostly use Brother Printers, but not sure how they compare for Photographic excellence, though my $50 Brother MFC-J497DW witch only has 4 colors does an amazing for me job on photo paper.