A spokeswoman for Asda said that Pilling had left because he felt it was time for a change. She did not know which company he might be going to.
Pilling joined in May 2002 following two years at Telewest Communications where he was customer marketing director.
His most recent work was on its campaign that featured Sharon Osbourne.
Prior to Telewest, Pilling worked for British Airways for six years, rising to general manager, marketing, for the United Kingdom and Ireland.
He started his career in the industry as a graduate trainee with Procter & Gamble where he managed the Daz, Vidal Sassoon and Ariel brands.
“Everyone at Asda wishes him well and hopes he has success in whatever he chooses to do next,” the spokeswoman added.
Asda brand director Richard Hodgson is set to indirectly replace Pilling.
Asda said that Hodgson’s role would be widened to include marketing, with his job title adjusted to brand and marketing director. He will report to Asda’s chief operating officer, David Cheesewright.
Hodgson has held a number of trading and marketing roles at Asda, including marketing director before being succeeded by Pilling.