We show that the sudden unquenching mechanism responsible for the production of the disoriented chiral condensate gives rise automatically to squeezed states. We compare the distribution of charged and neutral pions in the two extreme limits of a sudden quench and a slow adiabatic relaxation and show that in the former case the difference in the distributions is much more dramatic than in the latter. We also examine the isospin structure of the resulting squeezed pion distribution.