We propose a method of parallel full-range Fourier-domain optical coherence tomography (FDOCT) that is capable of acquiring an artifacts-free B-scan image by a single shot of a two-dimensional (2D) CCD camera. This method is based on a spatial carrier technique in which a spatial carrier-frequency is instantaneously introduced into the 2D spectral interferogram registered in parallel FDOCT by using a grating-generated line-reference beam. The spatial-carrier-contained 2D spectral interferogram is processed through Fourier transformation to obtain a complex 2D spectral interferogram, from which a full-range B-scan tomogram is reconstructed. The principle of our method is confirmed by imaging a tropical fish eye's anterior chamber and a shrimp telson in vivo. The suppression ratio of the complex conjugate artifact can reach 36 dB.