How about using a pot holder? I've seen the larger ones in Dollar General. Fold in half sew the long side & one short side. Turn inside out & you are done.

I have some & they are rectangular pieces, rounded on the closed end. Each piece is bound in bias tape on the straight ends that will form the opening. It is then sandwiched together & bound down & around the rounded end & back up the other side...finishing off with a loop for hanging. It fits snug so it will not twist & turn or slip as you empty the contents of the skillet. It is a slight struggle putting it on. It is not to just slip up over the handle. It is to fit the handle...that is why they sell different sizes.

Mine are natural colored canvas like fabric, lined with ironing board fabric & with some type filler in between. The bias is self fabric strips not thin packaged bias tape.