To dream that you are paralyzed, reflects the current state of your body while you are dreaming. During the REM state of sleep, your body is really immobile and paralyzed. People report that they cannot run or hit, despite how hard they try.
Symbolically, dreaming that you are paralyzed means you are feeling helpless or pinned down in some aspects or circumstances of your waking life. You may feel unable to deal with a situation or change anything. Alternatively, the dream suggests that you are feeling emotionally paralyzed. You have difficulties expressing your feelings.