JLR, owned by India's Tata Motors, is Britain's biggest carmaker.
"I'm absolutely convinced that the politicians on both sides, continental Europe but also the UK, are interested to do the best for the society," Chief Executive Ralf Speth told BBC Radio.
"So therefore I'm quite clear and hope that we get free and fair trade also in the future, without bureaucracy, without red tape so that the export industry ... can grow again."