The Stags have been without a full-time manager since former Sky Blue Carlton Palmer resigned last month.
Cork was brought to the club by Micky Adams and has been managing City Reserves as well as helping out with the first team on match days. In the sixteen reserve team games that Cork has been in charge of since January 05, the Sky Blues second string have won three, drawn three and lost ten.
He missed last week's win over Leicester and the last game of last season which saw a 3-1 defeat for City Reserves at Southampton.