sosnov,
Wlecome to CH.
Lots of people here are willing to help you with a problem.
We do not understand your problem. A DOS screen can be minimized to the task bar. But making it not visible on the task bar is a poor idea for most cases.
However, if the task bar is annoying, or if it takes too much space, you can hide it so that it shows only when the mouse is at the bottom of the screen. Or, it can be set so the any full screen application will cover it.
Is that what you want?