Step 1 :Two angles are coterminal if they differ by a multiple of $360^\circ$. So, the angles that are coterminal with $267^\circ$ are of the form $267^\circ + 360^\circ k$, where $k$ is an integer.
Step 2 :Therefore, the expression describing all the angles that are coterminal with $267^\circ$ is \(\boxed{267 + 360k}\).