  We prove sharp uniform estimates for strong supersolutions of a large class
of fully nonlinear degenerate elliptic complex equations. Our findings rely on
ideas of Kuo and Trudinger who dealt with degenerate linear equations in the
real setting. We also exploit the pluripotential theory for the complex
Monge-Amp\`ere operator as well as suitably tailored theory of $L^p$-viscosity
subsolutions.
