The Leeds boss admitted he was forced into being 'creative' with the defender.
The Yorkshire side lost on penalties after drawing 1-1 at Rovers but Rosler was full of praise for his players after the cup elimination.
And the German was happy with defender Wootton's display in midfield. But why did the Leeds boss play him there?
He told BBC Radio Leeds: "Tom [Adeyemi] got a knock so I didn't want to risk him. Sometimes you have to be creative.
"As long as we had three players in midfield, Scott looked good. He gave it his all, he stood out over 120 minutes. Luke Murphy wasn't ready to start the whole game. I wanted to have someone sitting in there and who was good in the air."
Rosler remained both confident and positive after Leeds' penalty-shootout defeat. And, if the German ultimately doesn't succeed at Elland Road, it looks as though he'll at least do so sticking to his principles and not expressing any regrets over transfers, tactics or team selection.
It's far too soon to talk about not succeeding, of course, as two draws have brought two encouraging performances for Rosler's men - and it's simply a case of getting that first Leeds win under the coach's belt.
As for Wootton, it'll be interesting to see if he's deployed as a holding midfielder in the future. What did you make of his performance there?