Liver can be baked, boiled, broiled, fried, stir-fried, or eaten raw.
In many preparations, pieces of liver are combined with pieces of meat or kidneys, like in the various forms of Middle Eastern mixed grill (e.g. meurav Yerushalmi).
Liver is often made into spreads. Well-known examples include liver pâté, foie gras, chopped liver, and leverpostej.
Liver sausages such as Braunschweiger and liverwurst are also a valued meal. Liver sausages may also be used as spreads.
A traditional South African delicacy, namely Skilpadjies, is made of minced lamb’s liver wrapped in netvet (caul fat), and grilled over an open fire. (source)
So can hamsters eat liver?
Unfortunately they cant at all. It is not good for them at all to eat, and is best avoided.