A member can't be both static and instance.
I think there may be confusion between references and objects here. In masijade's example
one is a reference variable. It is static.
new Integer(1) is an object. It's an instance of the Integer class.
Instance variables are not the same as instances of a class; I agree, using the same word for both is confusing.
You are confusing things. An enum is static, it always is. Just like "one" in my example above. That statement that says it is "an instance of enum" means that that static member is an enum, and not a String, or Integer, or whatever. In exactly the same way that "one" above is an instance of Integer. It simply means that "one" is an Integer and not a String, or Enum, etc.