It depends on how big, and how deep the wound is.
If the wound is small and superficial, the best option may be to allow it to heal by itself, facilitated by a good wound dressing. In some cases a split skin graft, which is a thin piece of skin taken from another part of the body, can be used to cover the wound and speed up healing.
However, if the wound is large and deep, with exposed structures like tendons and nerves, flap coverage may be required. This means transferring some tissue, together with its blood supply, from some other part of the body to cover the wound.
Artificial skin, or skin substitutes, are usually not used by themselves for covering hand wounds.