  In the era of radio astronomy, the high sensitivity of the Square Kilometre
Array (SKA) could play a decisive role in the detection of new radio sources.
In this work, we study the SKA sensitivity to the synchrotron radio emission
expected by the annihilation of TeV DM candidate in the Draco dwarf spheroidal
galaxy. On the one hand, we consider model-independent DM candidates: we find
out that with 1000 hours of data-taking, SKA1-MID will be able to exclude up to
10 TeV thermal DM candidates that annihilate in $W^+W^-$ and $b\bar b$
channels. We also study as these constraints improve by including a density
enhancement due to a DM-spike associated with an intermediate-mass black hole
in Draco. On the other hand, we consider extra-dimensional brane-world DM
candidates, dubbed branons. In this specific scenario, SKA allows us to set
constraints on the branon parameter space ($f$,$M$), where $f$ is related to
the coupling of the branon to the Standard Model particles and $M$ is the mass
of the branon itself. In particular, we consider two different branon DM
candidates. We find out that SKA will be able to set more stringent constraints
on the branon DM candidate required in order to fit the AMS-02 data, yet the
sensitivity of the instrument should be improved in order to study the branon
candidate for the Galactic Centre. Nonetheless, we show that SKA represents -
among other detectors - the most promising instrument for multi-wavelength
detection of synchrotron radio emission by annihilating multi-TeV DM.
