The 31-year-old midfielder scored winning goal against Esteghlal last month in Hazfi Cup final, where the Reds won the match 2-1 in extra time.
Alishah is the first player to extend his deal with Persepolis in the new Iran Professional League (IPL) season.
Persepolis has recently completed the signing of Shahab Zahedi from Hungarian club Puskás Akadémia.