The transfer of two-dimensional (2D) materials onto arbitrary substrates without cracks, contamination, or wrinkles is crucial for large-area applications. This paper demonstrates a technique that uses oxhydryl groups-containing volatile molecules or low-glass-transition-temperature polymers to achieve controllable conformal contact during transfer, resulting in ultraclean surfaces and high carrier mobilities (up to 1,420,000 cm² V⁻¹ s⁻¹ at 4 K).