"In Gujarat RS elections, Congress complained to EC before counting began. There was only one count, no recount. Ask EC," Mr Chidambaram said in a tweet.
"If citizens cannot question the EC, please tell us who can? And what should citizens do, pray to the EC?," he added.
He was reacting to Prime Minister's statement in a public meeting in Gujarat on Sunday when he attacked the opposition over the poll commission not announcing a schedule for the state assembly polls.
The Prime Minister referred to the Rajya Sabha biennial election in August in which Congress leader Ahmed Patel defeated BJP's Balwant Sinh Rajput.
"These are the same people who, when they saw the result of the counting and realized that they had lost, ran to the Election Commission to plead for a recount. The EC considered their plea and allowed a recount. Such people, who won an election because of the EC, have no moral right to question the EC."