Some of the 7,000 Burnley fans guaranteed free season tickets next term have told the club to keep their money and put it towards youth development.
"We've had a number of people tell us to leave their money in the club and invest it in youth development, others have asked us to turn their money into shares, even though it would only buy one," said chief executive Paul Fletcher.
"Some have had other ideas, so we are looking at all the different options and will be writing to the 7,000 season ticket holders in July asking them to indicate what they would like us to do with their money.
"Of course, anyone who does want their money back will get it. This is not the club stalling on refunds, we just have to come up with the best way to proceed following the letters we've had from fans.
"The chairman has taken this very seriously and we need to get it spot on."
Fletcher added: "Nothing surprises me at Burnley Football Club because it's a family club and there is a lot of sentiment about the place.
"There has been so much emotion since the win at Wembley, and wouldn't it be nice if the fans who left their money in the club to say 'thanks' helped to bring the next Jay Rodriguez through the youth ranks."