Subsea cable applications for the offshore power distribution systems create technical challenges in the system design, operation and maintenance. Harmonic parallel resonance introduced by subsea cables is one of the main concerns. In this paper, parallel resonance is investigated for an offshore distribution system with lengthy subsea cables on four interconnected platforms. Variable frequency drives are the dominant loads on the platforms and make up 98% of total load demands. Subsea cables create complicated parallel resonance condition in the system, and several resonance bands could interact with harmonic currents injected by variable frequency drives. The ways to attenuate resonance and mitigate harmonics are discussed and compared in this paper. An optimized solution for harmonic mitigation is proposed.