The 52-year-old has come under pressure from supporters in recent weeks, with the Glasgow giants trailing Hearts by nine points in the race to win promotion from the Scottish Championship, and various reports on Friday suggest he has tendered his resignation.
But a spokesperson for the club offered a brief "no comment" in response to the reports and it is believed McCoist will travel with the team as usual for the Friday evening league game at Queen of the South.
McCoist was a real Ibrox favourite as a player, scoring 355 goals in all and was part of the Rangers team which won nine league titles in a row in the 1980s and 1990s.