Jamie's Italian in Princesshay is expected to shut in the next few months, along with five others around the country.
The vote to leave the EU is being blamed.
The chain's chief executive says it is "a tough market", which has become even harder post-Brexit.
The closures will affect 120 staff nationally, but the company says it will try to find them work in other parts of the business.
Torquay big wheel will 'lift the spirits' for years to come
Planners unanimous despite heritage harm concerns
Investigations underway following fire in Devon village
Crews were called to Burlescombe
10,000 new homes could come to Plymouth
Government officials attend cabinet meeting
Decision soon on Torquay town centre redevelopment
More than 100 new homes will be built
Flights between Exeter and Amsterdam underway again
Daily flights to Netherlands after five years
Man kicked unconscious in Plymouth
Two teenagers arrested
