This depends greatly on the coffee maker that you purchase. Those that require electricity need to be close to an outlet and on a suitably sized flat surface where you can access all the necessary elements of the coffee maker. If you place it somewhere that is unstable or too small, you risk it toppling over and breaking. As well as wasting money this could cause injury to you and a lot of mess.
If you have a coffee maker that can be heated on your camp stove, then first ensure that your stove is suitable for this purpose. Then, ensure that it is placed on a flat, suitable surface that will reduce the risk of your coffee maker spilling or toppling over.