How to call methods on self in macros?

macro_rules! call_on_self {
    ($F:ident) => {
        self.$F()
    }
}

struct F;
impl F {
    fn dummy(&self) {}
    fn test(&self) {
        call_on_self!(dummy);
    }
}

The above doesn't work (Playground):

error[E0424]: expected value, found module `self`
  --> src/lib.rs:3:9
   |
3  |         self.$F()
   |         ^^^^ `self` value is a keyword only available in methods with `self` parameter
...
11 |         call_on_self!(dummy);
   |         --------------------- in this macro invocation

I don't understand why this is not working: the macro is invoked in the method where self is available! Is this somehow possible? Should I pass self into the macro because otherwise the macro cannot resolve self?

I'm using rustc 1.19.0-nightly.