Graphene, a monolayer of carbon atoms packed into a two-dimensional crystal structure, attracted intense attention owing to its unique structure and optical, electronic properties. Recent advances in chemical vapor deposition (CVD) have led to the batch production of high quality graphene on metal foils. However, further applications are required in the way these graphenes are transferred from their growth substrates onto the target substrate. Here, we report a sublimable carrier method that allows the graphene to be transferred with high quality onto arbitrary substrates, including semiconductor, metal and organic substrates. The intrinsic problems of the residue and environmentally unfriendly organic solvents have been solved due to the polymer-free process. Optical microscopy, scanning electron microscopy (SEM) and Raman spectroscopy demonstrate the high quality and clean surface of the transferred graphene. This work provides a new way of optimizing graphene transfer and widens the applications of graphene in large-scale 2D electronics.