Tony Irish, who is on the Federation of International Cricketers' Associations, had alleged that it was BCCI that used its financial might to exert pressure on the ICC member boards and coerce their captains to vote for Sivaramakrishnan.
The former India spinner, though, said the change was good for world cricket.
"I have beaten Tim May (in voting). Tim May is there for a while, so he has made contributions and there comes the point when over a period of time, you make your points felt and then you run out of ideas.
Sri Lanka skipper Kumar Sangakkara and Sivaramakrishnan were elected by a vote of the 10 Test captains as players' representatives and will serve on the Cricket Committee for a three-year term from 2013.