But if you must use Office 2010 for legacy hardware or a specific workflow—yes, your product key should still work. Type it in, activate by phone if needed, and you’re good to go.
If you encounter issues while entering your product key, try the following:
If you’ve lost your key and the software is still installed on an old computer, you can use a "Product Key Finder" tool (like Belarc Advisor or ProduKey) to extract the key from the Windows Registry. Support Status