The rules for "Parrying Unarmed Attacks" (p. B376) don't apply to Strikers, and my arms are Strikers. Martial Arts, p. 47, has that particular limitation spelled out in detail, and the correlation is confirmed in Pyramid 3/61, "Way of the Warrior," p. 13.
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You aren’t subject to the free attacks on your limbs specified under Parrying Unarmed Attacks (p. B376), and enemies cannot elect to shift an attack to your limb if you fail at Parrying Unarmed (p. B376).