Compounds with cations having pseudo-inert gas electron configurations have more covalent character than those that don't, therefore they should be less soluble.
Here are some solubility products:
$$ \begin{array}{lcc} \hline \text{Anions} & \ce{Cu^{2+}} & \ce{Zn^{2+}} \\ \hline \text{Arsenate} & \color{red}{ \pu{7.95e-36} } & \color{red}{ \pu{2.8e-28} } \\ \text{Hydroxide} & \color{red}{ \pu{4.8e-20} } & \color{red}{ \pu{3e-17} } \\ \text{Sulfide} & \color{red}{ \pu{8e-37} } & \color{red}{ \pu{2e-25} } \\ \text{Phosphate} & \color{red}{ \pu{1.4e-37} } & \color{red}{ \pu{9e-33} } \\ \hline \end{array} $$
Zinc ($\ce{Zn^{2+}}$) has a pseudo-inert gas configuration ($\ce{[Ar] 3d^{10}}$), and its salts are more soluble than those of copper ($\ce{Cu^{2+}}$), which does not ($\ce{[Ar] 3d^{9}}$). Why?