The standard way would be this one. With \leftmark you refer to the current chapter title. Since you're using 12pt type, also the \headheight needs to be adjusted.
\documentclass[12pt,a4paper,oneside]{report}
\usepackage{fancyhdr}
\setlength{\headheight}{14.5pt}
\pagestyle{fancy}
\fancyhf{} % clear all fields
\fancyhead[R]{\leftmark} % right header
\fancyfoot[L]{Department cdo} % left footer
\fancyfoot[R]{\thepage} % right footer
\fancypagestyle{plain}{% chapter pages use style plain
\renewcommand{\headrulewidth}{0pt} % no top rule
\fancyhf{}% clear all fields
\fancyfoot[L]{Department cdo}% left footer
\fancyfoot[R]{\thepage}% right footer
}
\usepackage{lipsum} % mock text
\begin{document}
\chapter{Chapter}
\lipsum
\end{document}
If you want to change the font size in the footer, just use something like
\fancyfoot[L]{\footnotesize Department cdo} % left footer
\fancyfoot[R]{\footnotesize \thepage} % right footer
in both places.
\chapterpagestylewhich can be modified. – Marco Daniel Mar 8 at 16:08