The invention relates to a gas supply and discharge system (100; 100'; 200; 300; 400; 500; 600), comprising: a fuel cell arrangement (2) having at least one electrode (2a); a gas-gas heat exchanger (3) for exchanging heat between a first gas (5) to be supplied to the electrode (2a) and a second gas (6) discharged or dischargeable from the second electrode (2a); and a humidifier (4) for transferring humidity between the first gas (5) and the second gas (6); wherein the fuel cell arrangement (2), the gas-gas heat exchanger (3) and the humidifier (4) are designed and are in fluid communication with each other such that, the first gas (5) to be supplied to the electrode (2a) can be introduced into the gas-gas heat exchanger (3) before the supply of the first gas (5) to the electrode (2a), and such that the second gas (6) can be introduced into the gas-gas heat exchanger (3) from the electrode (2a) in order to transfer heat between the first gas (5) and the second gas (6) in the gas-gas heat exchanger (3); such that the first gas (5) and the second gas (6) can be introduced into the humidifier (4) from the gas-gas heat exchanger (3) in order to transfer humidity between the first gas (5) and the second gas (6) in the humidifier (4); and such that the first gas (5) can be introduced into the fuel cell arrangement (2) from the humidifier (4) and can be supplied to the electrode (2a). The invention further relates to a method for supplying a first gas (5) to at least one electrode (2a) of a fuel cell arrangement (2) and for discharging a second gas (6) from the at least one electrode (2a).