Fricis (Fritzis, Franz) Apšenieks (Apscheneek) (born 7 April 1894, Tetele, Latvia – died 25 April 1941, Riga, Latvia) was a Latvian chess master.
In 1924, Apšenieks finished 2nd, behind Hermanis Matisons, at Riga (1 st LAT–ch). In 1924, he won, ahead of Lazard, at Paris. In 1924, he took 2nd, behind Matisons, and followed by Edgar Colle, Arpad Vajda, Max Euwe, Anatol Tschepurnoff, etc., at 1st FIDE World Amateur Championship in Paris. In 1925, he won, ahead of Terrill, at Bromley. In 1925, he tied for 3rd-4th with Karel Hromadka at Bromley (Premier–A). In 1925, he tied for 3rd-4th at Debrecen. In 1926, he tied for 3rd-4th at Abo. In 1926, he won at Helsinki. In 1926, he took 3rd, behind Vladimirs Petrovs, and Teodors Bergs at Riga. In 1926, Apšenieks won the Latvian Championship at Riga. In 1927, he tied for 5th-7th at Kecskemét. In 1931, he took 6th at Klaipėda (1st Baltic–ch). The event was won by Isakas Vistaneckis. In 1932, he tied for 3rd-5th at Riga Championship. In 1934, he tied for 1st with Petrovs at Riga (LAT–ch). In 1937, he tied for 11th-13th at Kemeri. In 1939, he tied for 11th-12th at Kemeri–Riga (Salo Flohr won). In 1941, he took 2nd, behind Alexander Koblencs, at Riga (1st Latvian SSR ch.).
Apšenieks played for Latvia at seven official Chess Olympiads: in 1928, 1930, 1931, 1933, 1935, 1937, and 1939. He also played in the unofficial Olympiad at Munich 1936.
During the first Soviet occupation of Latvia, he died of tuberculosis at the age of 47.