We can only guess to possible scenarios based on the little info provided...
I'm assuming, since you mentioned 39 inning rule, he is a P. If he is a junior P and considered a draft candidate and has thrown 40+ innings, this doesn't seem that odd. At this point, when weighing arm health vs getting more innings to refine, many would lean toward arm health.
This said, if he felt he wanted to get some work in, I can tell you there are summer college clubs everywhere who are getting the word about now that the pitchers they had slated to come in are backing out for a variety of reasons... injury, fatigue, exceeded inning target, mental break, etc., etc. So, he could easily find a home and dictate reasonable limitations on how much or little he would like to throw.
Son is a coach in the Valley League in Va. and currently actively replacing P's. I can connect you if helpful. That said, of course, he would need to determine if his college coach was being adamant about not playing or just not placing him because he didn't feel he needed to play.