Direct contact between objects results in the transfer of heat. This is the most common form of heat transfer. The burners on stoves conduct heat energy to the bottom of a pan placed on top of them when cooking. The pan then conducts heat to its contents.
The hot oil in a deep fryer also uses conduction heating to cook the food when it comes in contact with it. Furthermore, conduction heat is responsible for moving heat from the outside to the inside of the food. Therefore, conduction heat also occurs when cooking with convection or radiation.