Effect of AC coupling on DC signals
You must have a resistor (or inductor etc. ) from the op-amp input to ground, a reference, the output etc., in order to provide a DC path for the op-amp input bias current, otherwise the op-amp will saturate. The feedback resistor can provide this path if it is an inverting amplifier.

If you don't care about the DC value of the signal you can ignore it- provided it changes slowly enough that the AC coupling does not let an undue amount through.