Andy Carroll, Adrian and Samir Nasri will leave West Ham when their contracts expire next month.
In a statement, co-chairmen David Sullivan and David Gold highlighted Carroll's spectacular scissor-kick goal against Crystal Palace in January 2017, and Adrian's heroics in an FA Cup third-round penalty shootout against Everton in 2015, when he scored the winning kick.
"Both have provided us and our fellow supporters with some unforgettable moments, whether they were sensational scissor kicks and unstoppable headers in Andy's case, or penalty saves and goals in Adrian's," they said.
"They can both be assured of warm welcomes whenever they return to London Stadium and we wish them, as well as Samir Nasri and the young players whose contracts are up this summer, the very best for their future careers."
Spanish striker Toni Martinez will also leave on 30 June, as will midfielders Moses Makasi and Noha Sylvestre and defenders Vashon Neufville and Josh Pask.
West Ham are also open to the possibility of strikers Lucas Perez and Javier Hernandez leaving the club.