We propose a self-consistent method for studying equilibrium and kinet
ics of a random copolymer model with a Gaussian distribution of quench
ed disorder characterized by a generic covariance matrix. The complete
phase diagram of the model is obtained and it contains five different
states separated by the collapse, glass, and folding ''transitions.''
We analyze the thermodynamic limit for the high-density collapsed glo
bule that permits a simplified analytical study. We argue that the app
roach may be applied in a variety of situations including biopolymers,
gels, and other soft random materials.