A method of transferring a graphene sheet comprising one or more layers of graphene formed on a metal film, such as a copper film, coating a surface of a metal or alloy substrate onto a target substrate. The method includes fixedly contacting the graphene sheet with a contacting surface of the target substrate by applying substantially uniform pressure and heat on a layered assembly. The layered assembly comprises the metal or alloy substrate, the graphene sheet, and the target substrate. At least one layer of graphene of the graphene sheet formed on the copper film coating the surface of the metal or alloy substrate is transferred onto the contacting surface of the target substrate by the substantially uniform pressure and heat, and the at least one layer of graphene forms a graphene film on the contacting surface of the target substrate.