  The present paper is dedicated to the global large solutions and
incompressible limit for the compressible Navier-Stokes system in
$\mathbb{R}^d$ with $d\ge 2$. We aim at extending the work by Danchin and Mucha
(Adv. Math., 320, 904--925, 2017) in $L^2$ structure to that in a critical
$L^p$ framework. The result implies the existence of global large solutions
initially from large highly oscillating velocity fields.
