Running/jogging or any other impact activity is generally avoided to prevent the collapse of the head of the femur. In the early stages of the avascular necrosis of the head of the femur, there is bone death just under the cartilage of the bone.
The overlying cartilage along with the bone may collapse under pressure during high impact activities. But the early stages of AVN managed with surgeries such as core decompression showing no progression of the disease on subsequent MRIs may safely resume jogging/running following extensive rehabilitation.