IUPAC name of $\left[ CrCl _{2}\left( NH _{3}\right)_{4}\right] NO _{3}$ is
tetraamminedichlorochromium(III) nitrate.
The prefix tetra indicates the presence of $4$ ammonia ligands.
The prefix di indicate the presence of two chloro ligands.
The names of ligands are written in alphabetical order.
The oxidation state of chromium is written in roman numerals in parenthesis.