Let (M,U,\(\xi\),\(\Omega\),\(\eta\),g) be a para-coKählerian manifold of dimension \(2m+1\). Here, g is a pseudo-Riemannian metric of signature \((m+1,m)\), \(\xi\) is the canonical vector field (which is supposed to be concircular), U is the paracomplex operator, \(\eta\) is the structure 1- form and \(\Omega\) the fundamental 2-form. The authors consider the infinitesimal automorphisms X of \(\eta\) and prove that the Lie derivative of all powers of \(\Omega\) is exterior recurrent. Further, two types of horizontal distributions D (i.e., U(D)\(\subset D)\) are considered: (1) \(\xi\)-tangent horizontal distributions \(D_ t\) if \(\xi\) is tangent to D; and (2) \(\xi\)-normal horizontal distributions \(D_ n\) if \(\xi\) is normal to D. The authors prove that if \(D_ t\) or \(D_ n\) define foliations, then its leaves are minimal submanifolds of M. Finally, they consider a proper immersion \(N\to M\) where N is a CR-submanifold whose horizontal distribution is \(D_ t\). As in the Kählerian and Sasakian cases, the associated vertical distribution is involutive.