Both destinations are served by Vishakhapatnam (VTZ). Since there's no flight route between them, the best way to travel is by road.
Paralakhemundi
Fly to Vishakhapatnam (VTZ), then travel by road to Paralakhemundi. Taxis, buses, and private cabs are available from the airport.
Visakhapatnam
Fly to Vishakhapatnam (VTZ), then travel by road to Visakhapatnam. Local transport options include taxis, auto-rickshaws, and state buses.