  Experimental searches for Axion-Like Particles (ALPs) which couple to the
electroweak bosons span over a wide range of ALP masses, from MeV searches at
beam-dump experiments, to TeV searches at the LHC. Here we examine an
interesting range of parameter space in which the ALP couples only to
hypercharge. In the GeV to hundreds of GeV mass range, the contribution of an
ALP to light by light scattering can be significant. By making simple kinematic
cuts, we show that the ILC running at $\sqrt{s} = 250\,\rm{GeV}$ or $\sqrt{s} =
500\,\rm{GeV}$ can discover ALPs in this range of masses with significantly
smaller couplings to the SM than previous experiments, down to $g_{aBB} =
10^{-3}\,\rm{TeV}^{-1}$.
