Heinz said that Jimenez had left because he had specific career goals that he wanted to pursue outside the company.
Last month Jimenez was appointed executive vice president, president and CEO of Heinz's operations in Asia Pacific and the rest of the world. He was due to take up his new role this week.
Heinz said his responsibilities would be assumed by Christopher Warmoth, senior vice president for Heinz Asia, and Michael Milone, senior vice president Pacific and rest of world. William Johnson, chairman, president and CEO of Heinz, added: "I would like to personally thank Joe for his dedication and commitment to Heinz over the past eight years. We do wish him the very best of luck in his future business endeavours."