An unfinished market stall can be carried around in your inventory, but when it is complete, it will drop out automatically and can not be picked up again.
Additionally, market stall is tile-locked. You should therefore complete the market stall on the tile where you would like it to be placed, as it cannot be pushed or pulled to another tileor loaded into a [[wagon]] or [[large cart]]. Market stall can be rotated, though.
It will allow you to push or pull, however the Market Stall will not move.