Panshin is a surname. Notable people with the surname include:

Aleksandr Panshin (1863–1904), Russian speed skater and figure skater Alexei Panshin (1940–2022), American writer and science fiction critic Cory Panshin (born 1947), American writer and science fiction critic Mikhail Panshin (born 1983), Kazakhstani-Russian ice hockey player