No embedded point spectra for (discrete) Schrodinger operators with compactly supported potential

Question

Consider the lattice $\mathbb{Z}^d$ and let $H_0$ denote the (negative) Laplacian on $l^2(\mathbb{Z}^d)$ with spectrum $[-2d,2d]$. Suppose that I add a potential $q:\mathbb{Z}^d\rightarrow\mathbb{R}$ and consider $H=H_0+q$. Then if $q$ has compact support, is the intersection of $(-2d,2d)$ and the point spectrum of $H$ empty? I know the result holds for $d=1$ from a paper of SN Naboko, SI Yakovlev (in fact it holds if $q$ decays fast enough) but I want to know if it is true (and gain a reference for it) for $d>1$.