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Here are some ideas for making the @parallel decorator usable on methods.

I did not check the code. But usually, a decorator takes as its argument a function f. Now, it is easy to check whether f is a plain function or a method: Use ismethod() or ismethoddescriptor() from the inspect module.

On top of that, one may even think of making @parallel usable on wrapped methods, such as

@parallel
@cached_method
def my_method(self, L,**args):

In that case, the function put into the @parallel decorator would be an instance of a CachedMethodCaller. Those things could be tested with the function isclassinstance() from sage.misc.sageinspect. Perhaps that particular example does not make sense, but it may still be a case to be taken into account.