  We provide in this paper a first step to obtain the conformal scattering
theory for the linearized gravity fields on the Schwarzschild spacetime by
using the conformal geometric approach. We will show that the existing decay
results for the solutions of the Regge-Wheeler and Zerilli equations obtained
recently by L. Anderson, P. Blue and J. Wang \cite{ABlu} is sufficient to
obtain the conformal scattering.
