Final answer:
In Erich Maria Remarque's novel 'All Quiet on the Western Front', Haie Westhus is the character who would serve out his time in the army after the war.
Step-by-step explanation:
The character who says he would serve out his time in the army after the war is Haie Westhus. In Erich Maria Remarque's novel All Quiet on the Western Front, Haie Westhus expresses his intention to remain in the army post-war if he survives. Westhus is depicted as a character who is somewhat content with the order and regularity that military life provides, contrasting with the perspectives of many other characters who are eager to return to civilian life.