Hi
Welcome to the MedHelp forum!
You probably have an allergy or contact dermatitis that is causing your palm to itch. Tinea manum (ringworm of hand) or scabies are other causes. Contact dermatitis could be due to anything that your hand and feet come in contact with. You must get an allergy test done, either a skin test or RAST, to know what you are allergic to. Please consult a skin specialist as it is difficult to comment beyond this at this stage.
Hope this helps. Take care!