We theoretically study the visualization of arbitrarily oriented single quantum dipole emitters (single molecules, single quantum dots, single color centers, etc.) located in different layered media and in free space, performed by means of laser-scanning confocal fluorescence microscopy (LSCFM) based on elliptically polarized cylindrical vector beams (EPCVBs). In particular, it is demonstrated that one can exclude the dependence of the image intensity maximum on the emitter’s orientation for emitters located in free space and in 99%-collection-efficiency nanoantenna [Opt. Lett. 36, 3545 (2011)]. The problem of visualization of arbitrarily oriented single quantum emitters located in planar microcavities by means of EPCVB-based LSCFM is studied as well.