This article covers the geometric study of pointwise slant and pointwise semi-slant submanifolds of a para-Cosymplectic manifold M 2m+1 with the semi-Riemannian metric. We give an advanced definition of these type of submanifolds for the spacelike and timelike vector fields. We obtain the characterization results for the involutive and totally geodesic foliation for such type of manifold M 2m+1.