Frykman is a surname. Notable people with the surname include:
Anna-Lisa Frykman (1889–1960), Swedish composer, song lyricist, and teacher John Frykman (1932–2017), American Lutheran minister and psychotherapist Gösta Frykman (1909–1974), Swedish Army officer Götrik Frykman (1891–1944), Swedish bandy player and footballer Nils Frykman (1842–1911), Swedish teacher, evangelist, and hymnwriter Per Frykman (born 1964), Swedish paralympic equestrian