Simon Wallis, the group’s chief operating officer, said that half of Domino’s staff in leadership roles come from countries such as Portugal, Estonia and Romania.
“Not only have the people of Britain turned to migrants to make their lattes, build their kitchens and take care of their elderly, they’ve also relied on them to provide leadership.
“We need to properly consider how we’re going to supply our economy with the legions of team leaders who keep the tills ringing, the wheels turning and the pizzas coming,” he said.
Domino’s is embarking on an expansion drive, with plans to open 600 more stores over the next few years which will require more than 21,000 staff, but a fall in net migration means it will become increasingly difficult to find people to take up the roles.
Wallis said that thus far, the debate on Britain’s looming labour shortage following Brexit has tended to focus on seasonal and casual workers, tradesman and, professionals.
“But there is a fourth group which I believe is where the biggest hazard lies after Brexit.
“Many of these team leaders started out delivering pizzas, labouring or cleaning, but through ambition and hard work they’ve turned casual work into a career,” he added.
The British Hospitality Association said in April that the UK sector needed around 62,000 EU migrants every year if it is to maintain the status quo and drive growth.
Mr Wallis’s comments come after the chief executive of Chapel Down, an official wine supplier to 10 Downing Street, warned earlier this week that Britons will “starve” if the door is closed to foreign fruit pickers after Brexit.