The 23-year-old Chilean winger has struggled to hold down a regular place in Tito Vilanova's side after suffering an injury-plagued start to his career at Camp Nou, and is once again being linked with a move to the Premier League.
Manchester United were interested in signing Sanchez from Udinese when he opted instead to move to Spain, but now it's Liverpool manager Brendan Rodgers who wants to lure the South American star to Anfield.
However, Liverpool's hopes of securing his signature in January have been dealt a blow after Sanchez's representative Fernando Felicevich ruled out a move for his client.
"In no case will Alexis leave Barcelona," he told todomercadoweb.es. "He has returned after injury and played well.
"Alexis stays in Barcelona. Has no reason to leave. He is at the best team in the world. In addition to that Barca has [Lionel] Messi, a player that everyone can learn from."
Rodgers is keen to boost his attacking options on Merseyside, with Luis Suarez currently Liverpool's only fit first-team striker.
Sanchez's ability to play on either wing as well as through the middle would be an attractive attribute, if only the club can convince him and his agent, Felicevich, that his future would be better served in England.