Fyodor Mikhailovich Rimsha (Russian: Фёдор Михайлович Римша) (born in 1891; died in 1942) was an association football player. Fyodor, Olympics participant, died in 1942 in Leningrad during the siege of the city in World War II. Rimsha made his debut for Russian Empire on July 1, 1912 in a 1912 Olympics game against Germany.