You can authorize your Soldiers to go the gym as long as it does not violate any orders you have been given by your superiors. If you allow a Soldier to go to the gym because your mission is complete, that is your call.
It is important to understand that you are responsible for your decisions. If a superior wants to know where someone is and you tell them you sent them to the gym, be prepared for their response. It could be okay or it could be a significant emotional event. Either way, you made the call, you keep the responsibility. If you want to be proactive (and I suggest you do), contact your supervisor prior to making your decision on the gym trip.
Comments
SGT NICK
Man I need to be in your squad, the only way I can get away letting soldiers get some extra PT in is coordinating with the special pop instructor and sending them to that in the afternoons, ours is at a generous time, 1600-1700. So that is the only way I can get it to fly.