Simple way to store separately and safely sterile gloves. Below shown a paper model of one side. Arrows indicate the direction of entering the pockets.
We continue with step-by-step creation of pocket.
Start with base layout, then lay on it first piece:
And after that paper model is ready:
In order to keep gloves clean it is useful to double pockets:
Arrows above indicate velcro closure.
Due to flat construction even doubling the doubled layers will not be bulky. Or sewing the dispenser over the another pouch.