The 26-year-old player was part of Kyrgyzstan football team in the 2019 AFC Asian Cup in the UAE.
Sydykov will replace Iraqi midfielder Karrar Jassim who has recently joined Al-Shorta of Iraq.
He currently plays at Dordoi Bishkek of Kyrgyzstan.
Sanat Naft sits 11th in Iran Professional League table with 16 point from 15 matches – 15 points behind leader Sepahan.