The 27-year-old has a year left on his current deal but could be set to depart the Liberty Stadium after Michael Laudrup opted to leave him behind.
Moore played 16 times for the Swans in the Premier League last season, scoring three times, and the decision by Laudrup is understood to have taken the player by surprise.
Moore's agent Peter Morrison, of James Grant Group, confirmed to Sky Sports: "Luke is obviously disappointed not to have been included on the pre-season trip.
"However, he has a very professional outlook so will be keeping his head down and working on his fitness to make sure he is in peak condition for the start of the season.
"We have had enquiries from a number of clubs and, if an opportunity comes up that is right for both Luke and Swansea City, then we will look at it but he is contracted until the end of the season so he will remain focused and committed to the club until he is told otherwise."
Stoke, Hull City, Crystal Palace, Leicester, Blackburn and Wigan are all thought to be interested in Moore.