Based on hadiths quoted by Masoomeen (as), chess is considered haram and strictly prohibited, whereas some of the mujtahideens have considered playing it halal as long as there is no galmbling or money betting involved.
I’m a follower of Ayatullah Fayaz and I did some research to make sure if he has allowed or not, but could not find anything that would satisfy me.
Could you please help me with this query?

It appears he does not allow it.

http://shiaonlinelibrary.com/%D8%A7%D9%84%D9%83%D8%AA%D8%A8/804_%D9%85%D9%86%D9%87%D8%A7%D8%AC-%D8%A7%D9%84%D8%B5%D8%A7%D9%84%D8%AD%D9%8A%D9%86-%D8%A7%D9%84%D8%B4%D9%8A%D8%AE-%D9%85%D8%AD%D9%85%D8%AF-%D8%A5%D8%B3%D8%AD%D8%A7%D9%82-%D8%A7%D9%84%D9%81%D9%8A%D8%A7%D8%B6-%D8%AC-%D9%A2/%D8%A7%D9%84%D8%B5%D9%81%D8%AD%D8%A9_108