A cooling arrangement for cooling a fuel cell in a fuel cell system is disclosed. The cooling arrangement has at least two fluidically connected cooling circuits in which a liquid coolant medium flows, The first cooling circuit includes a first coolant pump, a fuel cell heat exchanger, a heating unit, and a charge air cooler, which is in heat-exchanging contact with compressed supply air flowing to the fuel cell. The second cooling circuit includes a cooling heat exchanger for cooling the liquid coolant medium. The cooling arrangement includes at least one further coolant pump.