Brighton have built a reputation for developing players before selling them for significant fees, with those departures forming an important part of the club's financial model.
But Bloom said there are several factors that determine whether a player is sold, rather than the club automatically accepting an offer from a wealthier rival.
Brighton have undergone significant changes to their squad despite the departures of Jan Paul van Hecke, Carlos Baleba and Danny Welbeck, while James Milner and Joel Veltman also turned down contract offers.
The Seagulls strengthened in several areas during the final fortnight of the transfer window and Bloom believes the resulting squad is the strongest in the club's history.
The club's willingness to sell players has also been linked to its ability to attract ambitious young talent, who can see Brighton as a pathway towards moves to larger clubs.
However, Bloom pointed to recent decisions involving Baleba and Yankuba Minteh as examples of situations where Brighton were not prepared to sell.
Manchester United showed interest in Baleba last summer, but Brighton did not allow the midfielder to leave.
Liverpool also made strong moves for Minteh more recently, while Brighton are understood to have rejected offers for Amario Cozier-Duberry.
Bloom told The Argus that player sales depend on a combination of circumstances rather than simply the size of an offer.
"Everything about players can be complicated," he said.
"We know that players, when they perform really well, they will be attractive to other clubs."
Bloom explained that Brighton consider the timing of a potential transfer, the financial terms and the player's own wishes before making a decision.
"If the timing is right, and if the price is right, and if the player wants to leave, then the player will leave," he said.
"But those things all have to happen."
He added that the club's decisions could not be separated from the individual circumstances surrounding each player.
"I don't want to talk individual situations, but as I said for a player to be sold, you need the right set of circumstances."
Minteh's situation illustrates that approach.
The winger is expected to attract significant interest if he returns from injury and begins performing at his previous level, but Brighton previously decided that the circumstances were not right for his departure.
The club has also had to reshape its squad following relegation? [No—this source does not support a relegation claim.]
Brighton's approach therefore remains based on developing players and accepting major transfers when the conditions align, while retaining players when the club believes a sale does not make sense at that point.
Bloom's comments come as Brighton prepare for a demanding season with a significantly refreshed squad and a stated belief from the chairman that the club has assembled its strongest group of players to date.