In hybrid AC/DC microgrids, parallel interfacing converters (IFCs) with common DC link are commonly used to connect AC and DC subsystems or to interface high-power distributed generations/storage elements to AC subsystem. Under unbalanced condition, the adverse effects of unbalanced voltage on single IFC's operation, such as output power oscillations, DC link voltage oscillations and peak current increase, can be aggregated in parallel IFCs compared to a single IFC. In this paper, a novel control strategy for parallel IFCs is proposed, which is focusing on reducing adverse effects of unbalanced voltage on parallel IFCs' operation based on peak current-based control strategy. In the proposed control strategy, one IFC which has largest power rating among parallel IFCs, named as redundant IFC, cancels out active power oscillations of parallel IFCs. Based on peak current analysis, it is proven in this paper that the collective peak current of parallel IFCs is constant under zero active power oscillation in the fixed average active power output. Therefore, the redundant IFC is controlled based on collective peak current of parallel IFCs to cancel out active power oscillations, which doesn't need communication among parallel IFCs. Moreover, the proposed control ensures the peak currents of IFCs to be approximately in-phase with collective peak current of parallel IFCs. Therefore, it could provide minimum peak current of redundant IFC.