The Collaborative International Dictionary of English v.0.48:

Parodic \Pa*rod"ic\, Parodical \Pa*rod"ic*al\, a. [Gr. ?: cf. F.
   parodique.]
   Having the character of parody.
   [1913 Webster]

         Very paraphrastic, and sometimes parodical. --T.
                                                  Warton.
   [1913 Webster]