With View - Origins - On,
and model origin set to hide in the Feature Manager,
I can still see a red origin when I create a new sketch, and it is selectable.
KITRACER ... If View > Origins is deselected you will not see any origins. That's the whole reason for that command.
rjason71 ... Unless you have moved the sketch, it is the main model origin which you are selecting. The sketch origin just happens to be positioned on top of it.
Try this;
Create a new sketch and add some simple geometry which is not constrained to the origin.
Activate the Modify Sketch command.
Select Position selected point option and select a point.
Type in new X and Y values so that nothing aligns with the main origin.
Hit Enter.
The red arrows will move with the sketch elements.
The Sketch Origin will not be selectable.