Newcastle were reportedly willing to pay £12 million up front for the highly-rated 21-year-old Netherlands international, but Munsterman has now raised the asking price to £16m.
De Jong insists this is considerably higher than the fee that had previously been agreed with Monchengladbach.
“I fell off my chair when I heard Joop Munsterman,” admitted De Jong to De Telegraaf.
“That amount is in complete contradiction with the conversation that took place this week between Twente and Borussia Monchengladbach, and with my father George and agent Louis Laros.”
He added: “I was amazed to hear this. FC Twente, my agent Louis Laros and Borussia Monchengladbach indicated that a transfer fee of €12m (£9.6m) plus €2m (£1.6m) in bonuses, would do, if I agreed with FC Twente to drop my contracted right to 20 per cent of the transfer fee.
“I have already indicated that I will drop my claim to 20% of the transfer fee, if a move to Borussia Monchengladbach is possible. I am not concerned just about the money. But for FC Twente, this is no longer sufficient for them to agree to a transfer.”
De Jong's anger was evident when he continued: "The president said that players should get a fair chance, but the reality is different. I had heard from other players that the board of Twente negotiates in an indecent manner, and I never believed it. Now, unfortunately I have experienced this myself.
"Gladbach will be a new level for me and it's where I want to develop further, in view of the Dutch national team. All my competitors for the striker position in Oranje play in foreign clubs in strong leagues."
The difficulties Newcastle face in trying to land the striker were underlined by Twente's manager Steve McClaren, who last week was quoted in The Journal as saying of any possible sale of De Jong: “The club know what I think about it. Luuk de Jong would stay if it were up to me, unless stupid money is offered.
“Only since the winter of last season has Luuk been playing as a No 9.
“He must have at least one full season playing as a real striker to become a top player at a big club.”