  We investigate intermediate inflation in the framework of a Galileon scalar
field. To this aim, we first obtain the inflationary observables, including the
scalar spectral index, the tensor-to-scalar ratio, the running of the scalar
spectral index, as well as the non-Gaussianity parameters. Then, we examine the
observational viability of the intermediate inflation within the framework of a
Galileon scenario. Our results show that although the prediction of
intermediate inflation in the standard framework is completely ruled out by the
Planck 2015 observations, it can be put inside the allowed regions of the
Planck 2015 TT,TE,EE+lowP data in the Galileon setting. Moreover, we determine
the parameter space of the Galileon intermediate inflation for which the model
is consistent with the Planck 2015 data. Besides, we derive the consistency
relation in the Galileon scenario, and find that it differs from the standard
inflation. We also estimate the running of the scalar spectral index and find
that it is in well agreement with the 95\% CL constraint of the Planck 2015
results. Finally, we evaluate the local, equilateral, orthogonal, and enfolded
non-Gaussianity parameters, and conclude that not only is the shape of
non-Gaussianity approximately close to the equilateral one, but that it also
satisfies the 68\% CL bound from the Planck 2015 data.
