Elshan is both a given name and a surname. Notable people with the name include:
Elshan Abdullayev (born 1993), Azerbaijani footballer Elshan Gambarov (born 1972), Azerbaijani footballer Elshan Hajizadeh (born 1961), Azerbaijani professor Elshan Huseynov (born 1977), Azerbaijani powerlifter Elshan Mamedov (born 1980), Azerbaijani footballer Elshan Moradi (born 1985), Iranian-American chess grandmaster Elshan Rzazade (born 1993), Azerbaijani footballer Leon Elshan (born 2004), Luxembourger footballer