The 25 year-old has been in the German lower divisions for a number of years and joins the Frankfurt club from Hansa Rostock.
FSV Frankfurt has traditionally been the third force in the greater Frankfurt area.
Big neighbours Eintracht Frankfurt and Kickers Offenbach are the traditional power but FSV is set to become the second force in Frankfurt and are looking for promotion to the Bundesliga next season.
Shapourzadeh joins fellow Iranian Mehdi Mahdavikia in the city, 'Kia' plays for top flight club Eintracht Frankfurt.