What happens to ice cubes if the latent heat of vaporization is removed?

Well, from ${0}^{\circ} \text{C}$ and $\text{1 atm}$, I guess they get colder...
Latent heat of vaporization is the heat input at constant pressure to vaporize a liquid. For liquid water going to water vapor, it is $+ \text{40.67 kJ/mol}$. If you removed this much energy from ice, well, it only becomes colder ice...