Before victory at Barcelona on Sunday, Garcia admitted ambitions of playing for the Blaugrana in the future.
But Carcel told RAC-1: "He told me he was staying."
He also said: "Being leaders of one of the most competitive leagues in the world and against rivals like Barça, Madrid or Atleti is something very nice.
"There is a lot of League left and we are not made to fight for a League championship.
"Right now I think it's too big a word to be real."