When an AC generator provides an alternating current to the coil will induce the magnetic filed around it. This is called primary magnetic field. The impedance is nothing but the opposition to the current flow. The coil will have resistance as well as inductance. When this coil is brought to near any conducting material, due to the primary magnetic filed the eddy currents will develop in the material. The magnetic filed which will induce in the material is called secondary magnetic field due to the eddy current secondary magnetic field will try to oppose the primary magnetic field due to any change in the eddy current pattern. Once primary magnetic filed gets affected in the coil definitely there will be a change in impedance in terms of resistance and inductance.
You can think of eddy currents as current flowing in the wrong direction (across laminations in transformers, for example). This energy is effectively lost, causing a higher loss, increasing the resistance. Eddy currents will have a minimal effect on impedance, since this is typically much larger than the resistance (note impedance is the resistance and reactance of the coil, reactance will typically dominate).