In this poster, we present our recent work on methods to subtract exozodiacal light from images taken with a future direct imaging mission aiming at detecting Earth-like planets in reflected starlight. Previous studies have assumed that the exozodiacal light can be subtracted down to the photon noise limit. We are investigating whether this assumption is valid by simulating high-fidelity images and reducing them with methods that are similar to the ones employed for the James Webb Space Telesocpe.