Last year's champion Shahjalal and runner-up Jibon Boli did not participate in this year's competition
Manohar, who was elected unopposed on a two-year term as the global governing body's first independent chairman in May 2016, resigned for personal reasons in March the following year only to defer his resignation a week later.
He was re-elected unopposed for a second two-year term last year.
"I am not interested in continuing for another two-year term," The Hindu quoted him as saying "Majority of directors have requested me to continue but I have told them that I do not wish to do so.
"I have been the chairman for nearly five years. I am very clear, I do not want to continue from June 2020. My successor will be known next May."