Parker, 35, succeeds Andrew Liggett, who is to leave the company on April 30.
Most recently, Parker has worked as director of finance and IT at high street retailer Savers Health and Beauty. Prior to joining Savers in 2005, he worked for the Boots Group for nine years in a number of operational finance roles, including director of finance for Asia.
Parker will formally assume his new role and join the board of Topps Tiles on April 10.
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