Shaw has been linked with a £30m move away, with Manchester United seemingly in pole position, but the decision will only be made by the Saints hierarchy.
"At the end of the day, Luke Shaw is a player that belongs to Southampton," Pochettino told reporters. "And it will be the club, Southampton, that makes the decision as to what happens with his future.
"There are a lot of players who are under interest at Southampton but they are all very happy at the football club, and most of them are under long-term contracts.
"If there is any decision to be made, it is for the owners, not for me."
Southampton's next game is against Aston Villa on Saturday.