Rakitic, who helped Croatia reach the final of the 2018 World Cup, has a contract with Barcelona until 2021 but was strongly linked with a move to Paris Saint-Germain during the summer.
Segura has confirmed that "a foreign club" made an approach for Rakitic, but Barcelona were never interested in selling the 30-year-old due to his importance to the team.
"We did not contemplate his exit," Segura told Sport. "We knew that he had an option from a foreign club, but we had no interest in him going.
"In Spanish football, there's a complex weapon with the release clauses. We're the only league with [mandatory] release clauses and the danger [that the clauses are triggered] is there, but neither the club nor player wanted him to leave."
Rakitic has made over 200 appearances for Barcelona since a 2014 move from Sevilla.