  We perform numerical simulations of an active fully flexible self-avoiding
polymer as a function of the quality of the embedding solvent described in
terms of an effective monomer-monomer interaction. Specifically, by extracting
the Flory exponent of the active polymer under different conditions, we are
able to pin down the location of the coil-globule transition for different
strength of the active forces. Remarkably, we find that a simple rescaling of
the temperature is capable of qualitatively capture the dependence of the
$\Theta$-point of the polymer with the amplitude of the active fluctuations. We
discuss the limits of this mapping, and suggest that a negative active pressure
between the monomers, not unlike the one that has already been found in
suspensions of active hard spheres, may also be present in active polymers.
