The Minstermen wanted to move the game from Friday 26th December to Tuesday 30th December to cut down on police expenses at Bootham Crescent.
York's Finance Director Terry Doyle said: "Playing the game on Boxing Day will cost [York] City an estimated extra £5,000 in police costs as it is a high profile game on a public holiday.
No Change to Boxing Day Clash
"It is our opinion that this is wasted money in view of the great efforts City fans have made to contribute in the past and a move by a few days would have suited all parties. Once again, unfortunately we are in the hands of the opposition."
He added that he is "surprised by the lack of co-operation" from City after a number of other Division 3 sides agreed requested changes to fixtures.
He added that he is "surprised by the lack of co-operation" from City after a number of other Division 3 sides agreed requested changes to fixtures.