We report on the design and experimental demonstration of a system based on an L3 cavity coupled to a photonic crystal waveguide for in-plane single-photon emission. A theoretical and experimental investigation for all the cavity modes within the photonic bandgap is presented for stand-alone L3 cavity structures. We provide a detailed discussion supported by finite-difference time-domain calculations of the evanescent coupling of an L3 cavity to a photonic crystal waveguide for on-chip single-photon transmission. Such a system is demonstrated experimentally by the in-plane transmission of quantum light from an InAs quantum dot coupled to the L3 cavity mode.