The Portuguese star could have joined the Blaugrana after then-Manchester United boss Alex Ferguson "offered" him to Barcelona.
The Portuguese star joined Madrid in 2009 for a fee of 94 million euros from Manchester United and has become a hit at the Santiago Bernabeu, winning the 2013 Ballon d'Or.
Calderon, who resigned as president several months before Ronaldo moved to Madrid, says then-United manager Sir Alex Ferguson attempted to engineer a move to Barca for the attacker, but Ronaldo refused.
Asked whether the Scot tried to send Ronaldo to the Blaugrana, Calderon told talkSPORT: "It is totally true. In the few weeks he tried to avoid him going to Real Madrid, offering him to Barcelona. Barcelona were very happy but in that moment it was very crucial as Ronaldo said: 'I'm not going to any other club but Real Madrid.'
"That's why we signed the deal. Everyone was happy: Manchester United got the 80 million pounds, Real Madrid got the best player in the world and Cristiano got what he wanted because players like him are not only looking for money, they look for glory, and they look for anyone who is giving them that opportunity to win titles, to be the best in the world, to win golden boots. There are only three, four or five clubs that can give him what he wants."
Ronaldo has scored 22 goals in 21 league appearances for Madrid this season.