  In this paper, we study the odd solution of the linearlized Einstein equation
on the Schwarzschild background and in the harmonic gauge. With the aid of
Regge-Wheeler quantities, we are able to estimate the odd part of Lichnerowicz
d'Alembertian equation. In particular, we prove the solution decays at rate
$\tau^{-1+\delta}$ to a linearlized Kerr solution.
