Graphene is deposited directly on a non-metal substrate, i.e. SiO2/Si with a sacrificial copper film. The copper film is either evaporated during prolonged growth time or removed by wet chemical etching after CVD graphene grows on it. This leaves the graphene sticking directly to the SiO2/Si without needing any transferring process. Effects of the copper film thickness, the growth time, and the wet chemical etching on the morphology and Raman scattering of the synthesized transfer-free graphene are analyzed and reported.