The Spanish side revealed earlier on Wednesday that they had made an official written bid for the 23-year-old.
“Arsenal captain Cesc Fabregas is under contract with the Club until the summer of 2015. He is a highly valued member of the team and part of our future plans,” a statement on Arsenal’s official website read.
“We have followed recent speculation linking Cesc with a move away from the Club but as there has never been any official approach for him, only two informal exchanges, in which we made it abundantly clear that we have no interest in transferring Cesc, we have refrained from publicly passing comment.
“However, yesterday evening we received an offer from Barcelona for Cesc and in response, we immediately and resolutely told them once again that we have no intention of selling our captain.
“To be clear, we will not make any kind of counterproposal or enter into any discussion. Barcelona have publicly stated that they will respect our position and we expect that they will keep their word.”