Those comments have incensed Parish, who believes Wigan are trying to turn the England Under-21 international's head and force a cut-price deal.
Writing on Twitter, the Eagles chief said: "Some fascinating quotes from a manager about our player.
"So having nicked Victor due to administration and then selling for £9m (where I don't recall them being worried about Chelsea getting value for money), Roberto would like it ever so much if we would roll over.
"In the meantime I guess he'll just try to unsettle our player using the papers.
"We didn't reveal any details of their bid we prefer to do these things privately and politely, different rules I guess for 'big' clubs."