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There is no way to delete created datasource in persistance unit UI.
After I read the JPA spec. I finally found that I have to delete it from the app server admin console. I still suggest that it would be nice if anyone can delete it directly from NetBeans Persistance unit Design UI page or from any module to perform server common tasks. After all you can add it why not can delete it anyway.
Reassigning to "j2ee".
This old bug may not be relevant anymore. If you can still reproduce it in 8.2 development builds please reopen this issue. Thanks for your cooperation, NetBeans IDE 8.2 Release Boss