  In this work we consider strange stars formed by quark matter in the
color-flavor-locked (CFL) phase of color superconductivity. The CFL phase is
described by a Nambu-Jona-Lasinio model with four-fermion vector and diquark
interaction channels. The effect of the color superconducting medium on the
gluons are incorporated into the model by including the gluon self-energy in
the thermodynamic potential. We construct parametrizations of the model by
varying the vector coupling $G_V$ and comparing the results to the data on
tidal deformability from the GW170817 event, the observational data on maximum
masses from massive pulsars such as the MSP J0740+6620, and the mass/radius
fits to NICER data for PSR J003+0451. Our results points out to windows for the
$G_V$ parameter space of the model, with and without gluon effects included,
that are compatible with all these astrophysical constraints, namely,
$0.21<G_V/G_S<0.4$, and $0.02<G_V/G_S<0.1$, respectively. We also observe a
strong correlation between the tidal deformabilites of the GW170817 event and
$G_V$. Our results indicate that strange stars cannot be ruled out in
collisions of compact binaries from the structural point of view.
