A method for operating, especially for starting, a fuel cell such as a solid oxide fuel cell (SOFC) is disclosed which method includes a starting operation with a first or initial start phase and an optional second or intermediate start phase which is initiated when the fuel cell has reached a predetermined medium temperature below a steady state operational temperature range, before a steady state operation is activated. During the first or initial start phase fuel is subjected to an exothermic reaction with oxygen in a burner unit and output gases from the burner unit are used to warm up and passively heat the fuel cell. Furthermore, a fuel cell arrangement comprising a fuel cell, especially a SOFC hybrid system, for conducting this method is disclosed.