First, dissociate the salt into ions:
ZnF2(aq) → Zn2+(aq) + 2 F–(aq)
Check the cation for hydrolysis:
Zn2+(aq) + 2 H2O(l) → ← ZnOH+(aq) + H3O+(aq)
Yes, the reaction does occur because ZnOH+ is a weak base.
Check the anion for hydrolysis:
F–(aq) + H2O(l) → ← HF(aq) + OH–(aq)
This reaction does occur because HF is a weak acid.
Net: we need the equilibrium constants to decide (from the Table of Acid Ionization Constants).
Ka(Zn2+) = 2.5×10–10
Ka(HF) = 6.6×10–4
Kb (F–) = 1.0×10–14/6.6×10–4 = 1.5×10–11
2.5×10–10 > 1.5×10–11