Good, who only joined the group last year as finance director, is charged with leading the business into a new period of "growth and development".
As a result, BCQ's current managing directors Richard Knowles and Tyrone Spence move into the positions of chairman and chief executive respectively.
Commenting on his appointment, Good said: "I am delighted to have been given the opportunity to lead an already strong brand with a diverse offering into a new period of growth and development."
Good takes BCQ Group MD role
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BCQ Group has appointed Richard Good as managing director and aims to grow the business by 30% in the next two years.