The blaze at Verdugo Ranch Market on the 3300 block of North Verdugo Road was reported shortly before 9 p.m.
Firefighters arrived on scene and reported flames showing through the roof of the market, which was closed at the time, according to Los Angeles Fire Department spokeswoman Katherine Main.
A portion of the 5,000-square-foot structure collapsed. Fortunately, no one was inside.
One firefighter suffered an eye injury but was treated at the scene and returned to work, said Main.
The cause of the fire is under investigation.
City News Service contributed to this report.