The quartet of Alan Tate, Luke Moore, Kemy Agustien and Leroy Lita have all been transfer-listed by Laudrup, and the former Danish international gave varying reasons for giving permission to each player to leave the Liberty Stadium.
The 49-year-old told the South Wales Evening Post: "Some of them were spoken to in April — Tate knew that we wanted to bring in a different type of centre-back, who can play a little higher with more speed and he said they didn't want to be fourth or fifth choice here.
"And with the forwards, even if we went into pre-season without new strikers, I wouldn't have brought them to Holland.
"There were a lot of things with Kemy last season and it's best for him that he finds a new environment where he can try to play a little more regularly. I think that's best for him."
Swansea spent a club-record fee of £12m on striker Wilfried Bony on Thursday.