An electrical cooking appliance has at least one cooktop with cooking zones becoming hot in a switched-on state, an optical residual heat indicator indicating hot cooking zones when line voltage is applied to the cooking appliance, a counter system switching off the residual heat indicator with a time delay after the switching-off of the cooking appliance connected to line voltage occurs, and a line voltage detector for detecting a presence of the line voltage at the cooking appliance. Information is stored in a memory of the counter system as long as a counter reading is greater than zero, and, after a line voltage interruption, the residual heat indicator remains activated for a certain period of time, in dependence on the inquired memory content, if the information in the memory indicates a counter value greater than zero.