With a venous ulcer, walking isn’t just allowed. It’s part of the treatment. To help treat a venous ulcer: take a walk or exercise every day. Being active helps improve blood flow.
The same goes for prevention: exercise as much as you can, because staying active helps with blood flow.
Walking goes along with two other instructions, and the three are meant to work together rather than as alternatives. Wear compression stockings or bandages every day as instructed, and put your feet above your heart as often as possible, for example by lying down with your feet propped up on pillows.
There’s a reason activity matters for this particular wound. A venous ulcer is caused by high pressure in the veins of the lower leg, with blood flowing backward and pooling. Sitting or standing for long periods of time, usually for work, is one of the risk factors. Staying still in one position is itself part of the problem.
This answer is for venous ulcers and doesn’t carry over to other wounds on a leg or foot. With a diabetic foot ulcer, your provider may ask you to wear special shoes, a brace, or a special cast. You may need a wheelchair or crutches until the ulcer has healed, and sometimes putting pressure on the healing ulcer for even a few minutes can reverse the healing that happened up to that point. The instruction there is to take pressure off. Which instruction applies depends on which wound you have, and that is established by examination.
If walking has become painful, or more painful than it was, that is worth raising rather than working around.