Dyche has also warned any clubs wanting his stars will have to pay the appropriate price.
The bid, which is understood to be £750,000 with add-ons taking the deal to £2million, was well-short of Watford's valuation of Mariappa - who has come through the youth ranks at Vicarage Road.
"Big clubs should go about their business in an appropriate manner," Dyche said.
"Unfortunately, as is often the case these days, their offer is nowhere near our valuation. That's the awkward side of the game now, and they do it for their own reasons.
"I couldn't begin to tell you how far away it was - my son's got more in his money box.
"If clubs at our level are helping to develop players, I think it's fair to say that big clubs with money should respect that and go about it in an appropriate manner.
"Rather than tickling us with offers which are nowhere near the player's worth, to try to provoke a reaction from us, we do not need to accept the first bid that comes along.
"When you think about Connor Wickham being sold for £7.5million, and Matt Mills going to Leicester for £5.5million, that's the going rate for players moving in and around our division, and we have to pitch in accordingly."
As well as Mariappa, Dyche also warned suitors of Marvin Sordell that they would be wasting their times with inferior offers.
"Again, the loose talk we've heard about Marvin has been so far short of his value it's not even worth considering," he said.
West Ham, Southampton, Blackburn and Fulham have all been linked with the England Under-21 striker in recent weeks.
