Having been snapped up from Atletico Nacional in June 2016, the Colombian centre-half has enjoyed a productive 12 months in Amsterdam.
He has been unable to help Ajax to Eredivisie or Europa League success, but is now one of the most sought-after talents in Europe and a man prepared to acknowledge that a switch to Camp Nou would be difficult to turn down.
Pressed on the rumours by Cadena SER, Sanchez said: "Obviously I would like to play for Barcelona.
"It is a huge compliment [to be linked with them]. Who doesn't want to play for a club as big as Barca?
"Everyone wants to be part of a team like that, they're one of the world's elite."
Sanchez is, however, tied to a contract at Ajax until 2021 and insists he will remain fully focused on events there until a formal approach for his services is made.
He added: "I want to be clear that right now I am completely focused on Ajax.”
Sanchez made 45 appearances for Ajax across the 2016-17 campaign, netting six goals.