Partly. QuickBooks Online runs in any modern browser and works normally on Linux. QuickBooks Desktop does not, and Intuit's own system requirements say plainly that Linux is not supported.
QuickBooks by Intuit · Business & accounting · Works in a browser
There are two different QuickBooks products and the answer depends entirely on which one you have.
QuickBooks Online is a website. You sign in with Chrome, Firefox or Edge on Linux and everything
behaves the way it did on Windows, because it was already running in a browser there too.
QuickBooks Desktop is a Windows program. Intuit's system requirements page lists Windows 11 and
Windows Server editions, and states that QuickBooks requires you to use Windows natively, and that
Linux, Windows 10 S Mode, emulators and virtual environments are not supported. That last part
rules out the usual workarounds, and given this is your financial and tax data, it is not the
place to experiment.
Your existing company file is the thing to plan around. A .qbw file is Intuit's own format and no
Linux program opens it. If you are on Desktop and want to stay with Intuit, the move is to convert
your company file to QuickBooks Online while you still have the Windows machine working. Intuit
provides that migration, and once it is done the browser is all you need.
If you would rather leave Intuit entirely, export your accounts and transactions to CSV before you
wipe Windows. GnuCash can import that and produce proper books. Keep the original file and access
to a Windows computer until you are certain nothing was lost, because the conversion is one way.
Browser-based business suite with a free single-app plan. Handles invoicing and accounting alongside sales and stock, so it suits a growing business more than a sole trader.
Your files: No .qbw support. Imports customers, products and transactions from CSV files you export first.