The Strauss conjecture for the Minkowski spacetime in three dimensions states that the semilinear equation \[ \Box u = |u|^p, \quad u(0)=\epsilon f, \quad \partial_t u(0)=\epsilon g \] has a global solution for all $f$ and $g$ smooth, compactly supported and $\epsilon$ small enough if $p > 1+\sqrt 2$. We prove a similar result in the context on Schwarzschild and Kerr with small angular momentum spacetimes. This is joint work with H. Lindblad, J. Metcalfe, C. Sogge, and C. Wang