Siem de Jong, Christian Eriksen and Toby Alderweireld have been linked away from the side but their coach has claimed that their departures are not certain.
The Amsterdam ArenA trio has the attention of numerous clubs in this summer's transfer window but none tempting enough to lure them away from the Eredivisie giant, which delights the capital-based club's coach.
"Players who rejected clubs say a lot about how good they’ve got it at Ajax," De Boer told reporters. "It means that we’re doing something right and we’re happy with that. At Ajax they can develop. If those guys leave Ajax, we can be proud that they moved to a bigger club or competition.
"It’s an option for us to offer Toby and Eriksen a new contract. If these three guys stay at Ajax, we would be very happy."
De Jong has also indicated he was considering a move this summer, according to De Boer, who says the 24-year-old club captain could yet remain with the reigning Dutch champion.
"I gave Siem a call during the holiday and asked what his feeling was," he said. "I was wondering if he had already made a decision about moving to another league. I also wanted to make it clear that we didn’t want to lose him.
"He said that he has a good feeling at Ajax and will only leave for a really good club. Right now he’s at Ajax and we’re happy with that."
Ajax forward Eriksen, 21, and defender Alderweireld, 24, have one year left on their deals, while De Jong is contracted until the end of the 2014-15 season.