$ sudo apt-get update
$ sudo apt-get install gcc-s390x-linux-gnu 

gcc-s390x-linux-gnu is installed in your system.

Make ensure the gcc-s390x-linux-gnu package were installed using the commands given below,

$ sudo dpkg-query -l | grep gcc-s390x-linux-gnu *

You will get with gcc-s390x-linux-gnu package name, version, architecture and description in a table

gcc-s390x-linux-gnu package basic information: