A system for cooking a food comprising an electric cooking appliance by contact with at least one cooking plate, and at least one remote alert device, said alert device comprising a battery, a microcontroller provided with a clock, an alert element configured to emit at least one signal (S1-1, S1-2, S1-3, S1-4) on an action to be carried out by a user on the cooking appliance, and a communication means configured to receive at least one data from the cooking appliance, the cooking appliance comprising a control unit, and a communication means configured to emit data to the communication means of the alert device, characterized in that the cooking system is configured to implement a method for cooking a food, comprising: - A step of characterizing (E1-1) the food to be cooked in which the control unit of the cooking appliance receives at least one type and one physical characteristic of the food; - A step of estimating (E2-1) at least one cooking parameter in which the control unit estimates at least one cooking parameter; - a step of establishing a communication between the cooking appliance and the alert device; - A transmission step (E3-1, E3-2, E3-3) in which the communication means of the cooking appliance transmits to the communication means of the alert device at least the data corresponding to the at least one cooking parameter and data relating to the time when the food to be cooked was brought into contact with the cooking plate so as to parameterize the alert device; - A step of interrupting the communication between the cooking appliance and the alert device; - A step of measuring (E5-1, E5-2, E5-3, E5-4) a duration value by the alert device, this duration value being determined and counted from the data transmitted during the transmission step; - A step of signaling by emitting a signal (S1-1, S1-2, S1-3, S1-4) by the alert element of the alert device. the cooking appliance comprising a control unit, and a communication means configured to emit data to the communication means of the alert device, characterized in that the cooking system is configured to implement a method for cooking a food, comprising: - A step of characterizing (E1-1) the food to be cooked in which the control unit of the cooking appliance receives at least one type and one physical characteristic of the food; - A step of estimating (E2-1) at least one cooking parameter in which the control unit estimates at least one cooking parameter; - a step of establishing a communication between the cooking appliance and the alert device; - A transmission step (E3-1, E3-2, E3-3) in which the communication means of the cooking appliance transmits to the communication means of the alert device at least the data corresponding to the at least one cooking parameter and data relating to the time when the food to be cooked was brought into contact with the cooking plate so as to parameterize the alert device; - A step of interrupting the communication between the cooking appliance and the alert device; - A step of measuring (E5-1, E5-2, E5-3, E5-4) a duration value by the alert device, this duration value being determined and counted from the data transmitted during the transmission step; - A step of signaling by emitting a signal (S1-1, S1-2, S1-3, S1-4) by the alert element of the alert device. - A step of characterizing (E1-1) the food to be cooked in which the control unit of the cooking appliance receives at least one type and one physical characteristic of the food; - A step of estimating (E2-1) at least one cooking parameter in which the control unit estimates at least one cooking parameter; - a step of establishing a communication between the cooking appliance and the alert device; - A transmission step (E3-1, E3-2, E3-3) in which the communication means of the cooking appliance transmits to the communication means of the alert device at least the data corresponding to the at least one cooking parameter and data relating to the time when the food to be cooked was brought into contact with the cooking plate so as to parameterize the alert device; - A step of interrupting the communication between the cooking appliance and the alert device; - A step of measuring (E5-1, E5-2, E5-3, E5-4) a duration value by the alert device, this duration value being determined and counted from the data transmitted during the transmission step; - A step of signaling by emitting a signal (S1-1, S1-2, S1-3, S1-4) by the alert element of the alert device.