  We show that any spherically symmetric spacetime locally admits a maximal
spacelike slicing and we give a procedure allowing its construction. The
construction procedure that we have designed is based on purely geometrical
arguments and, in practice, leads to solve a decoupled system of first order
quasi-linear partial differential equations. We have explicitly built up
maximal foliations in Minkowski and Friedmann spacetimes. Our approach admits
further generalizations and efficient computational implementation. As by
product, we suggest some applications of our work in the task of calibrating
Numerical Relativity complex codes, usually written in Cartesian coordinates.
