That's completely up to you. It can't hurt. He may eat, he may not. Some eat in shed, some do not. Worst case scenario if you offer, it's a waste of a prey item.
I personally offer ONCE to each new snake whenever the first shed cycle overlaps a feed day. IF the snake eats, I continue to offer when that snake is in shed. IF the snake refuses, I don't offer again while that snake is in shed. It certainly won't hurt them to go an additional week without eating.
Of my current 4 snakes only my King eats while in shed.