We present the parametric coherent receiver based on a two-mode pump-degenerate fiber optical parametric amplifier (FOPA). The receiver is inherently single-ended and offers a simultaneous gain and coherent mixing of the received signal and a reference wave (known as a local oscillator signal) with, in principle, arbitrary wavelength separation. We analyze the receiver theoretically and in a proof-of-concept experiment. As a reference we compare the performance to a standard single-ended homodyne coherent receiver.