Yes, the license should be good if you have Windows 10. Although it's not mentioned that it supports Windows 10, as long as you can install it, the serial number can be used to register the application.
Currently, Championship Euchre Pro supports the following operating systems: Windows 98 SE, Windows 2000, Windows NT, Windows ME, Windows Vista, Windows 7, Windows 8, Windows 8.1
For more information visit the website: http://dreamquestgames.com/games/card-games/windows-card-games/championship-euchre/
TIP: Never post serial numbers or license key information on public domains again.