I would think that measuring the impedance over a wide frequency range would give two asymptotes and one resonance. The first asymptote would be constant, representing teh DC resistance, teh second asymptote would represent the effects of teh parasitic parallel capacitance in series with the DCR, and the peak frequency would allow calculating the inductance. Of course the effects of the parasitic parallel (loss) resistance and the parasitic impedance of the test equipment would still mess with the measurements, but it would give a set of good ballpark figures.
The parallel parasitic capacitance is what te OP wanted to know, from what I gathered.
It does not change my opinion that his question was not pertinent since the major cause for HF loss is the leakage inductance.