Yes, eczema can appear in patch. For some it only appears on the hands, for others it appears in the crevices of their skin, for others it appears around their mouths. Each person is different. But for infants, it's common to appear either on their face, in the crease of their arm, knee, or back.
No matter where it appears, it can be very irritating. For infants, it can be a little tricky because they can't communicate with you. If your doctor prescribes hydrocortisone cream, apply it at night so that your child can get some rest. 30 seconds after applying the hydrocortisone cream, generously apply All Over Butter or Ultimate Hydration.