John Winger: C'mon, it's Czechoslovakia. We zip in, we pick 'em up, we zip right out again. We're not going to Moscow. It's Czechoslovakia. It's like going into Wisconsin.
Russell Ziskey: Well I got the shit kicked out of me in Wisconsin once. Forget it!
John Winger: We are Americans with a capital A, huh? You know what that means? Do you? That means that our forefathers were kicked out of every decent country in the world. We are the wretched refuge. We're the underdogs. We're the mutts.
Chosen answer: According to the movie's premise and plot, once they (the platoon) impressed the brass at graduation and was assigned to the Germany gig with the "EM-50", Sgt. Hulka would naturally be with them as he was their original commanding officer. Plus, it would be logical to suggest that he would personally assign himself the detail of overseeing his platoon as they were his to begin with.
CCARNI ★
He's assigned as a Drill Sergeant, that is his job. Once he was fully healed he would have been assigned another group of recruits.