This is not strictly bioinformatics, but here we go:
Software compatible on older operating systems are usually compatible on newer ones. If not, you can run them on compatibility mode. Also, the requirements page does not mention any requirement that was stopped with XP.
It appears that the answer is yes, from the proteowizard documentation:
Windows Users: If you use the installer, then the only requirement is having Microsoft .NET Framework 4.0 or higher installed. To use the binary tarball distribution however, you must also have Visual C++ redistributables (for either x86 or x64 depending on which tarball you download) for these VC versions: 2008, 2010, 2012, 2013, 2015, 2017. This page links to the most recent redistributable for each VC version (NB: only get the redistributables, not the service packs). These are required because different vendor DLLs depend on different versions of VC.
As long as you have Microsft .NET Framework 4.0 or higher and the Visual C++ redistributables you should be good to go.
Link to the VC versions: https://support.microsoft.com/en-us/help/2977003/the-latest-supported-visual-c-downloads