The runaway League One leaders had asked for the match to be put back after three of their players were drafted in by their countries.
Full-back Lee Wallace was named in Gordon Strachan's Scotland squad for the World Cup qualifier against Croatia on Tuesday, October 15, while team-mate Lewis Macleod was included in the U21 party for a double-header against Slovakia and Georgia.
Arnold Peralta had already been selected for Honduras against Costa Rica and Jamaica, and with Dean Shiels and Andy Little on standby for Northern Ireland, boss Ally McCoist exercised the club's right to have the game moved.
Rangers, who have won all seven Scottish League One games this season, currently hold a five-point lead over the Fifers at the top of the table.
Despite sitting out next weekend's league action, Rangers will remain in pole position in Scotland's third tier if they take at least one point from their trip to Ayr United, live on Sky Sports 4 this Sunday at 12.30pm.