Lennox was drafted 93rd overall by the Islanders at the 2021 NHL Draft on Saturday.
Raty was drafted 52nd overall by the Islanders at the 2021 NHL Draft on Saturday.
Clutterbuck was included on the Islanders' protected-player list ahead of Wednesday's Expansion Draft.
Eberle was not protected in advance of Wednesday's Expansion Draft.
Greene signed a one-year contract worth $1 million with the Islanders on Saturday, Arthur Staple of The Athletic reports.
Panik was traded from the Red Wings to the Islanders on Friday in exchange for Nick Leddy.
Pageau had surgery on his hand Monday but is expected to be fully fit for the start of the 2021-22 campaign.
Pageau is expected to need surgery to repair an injury he suffered at some point during the playoff run for the Islanders, Arthur Staple of The Athletic reports.
Greene stated Sunday that he isn't considering retirement and would like to play again for the Islanders next season, Andrew Gross of Newsday reports.
Palmieri stated Sunday that he wouldn't mind signing with the Islanders this offseason, Andrew Gross of Newsday reports.
Lee (knee) told reporters Sunday that he's on track for the start of training camp next season. "I am on track. I was able to do a lot of really good things in the past 13-14 weeks since surgery. Looking forward to continuing on that path and getting ready for camp," Lee said.
Varlamov stopped 30 of 31 shots in a 1-0 loss to Tampa Bay in Game 7 on Friday.
Varlamov will protect the road goal in Friday's Game 7 versus the Lightning, Andrew Gross of Newsday reports.
Varlamov stopped 22 of 24 shots Wednesday in a 3-2 overtime win over Tampa Bay in Game 6.
Mayfield scored the game-tying goal and had three shots in Wednesday's 3-2 overtime win over the Lightning in Game 6. He also had two PIM.
Eberle scored a goal and produced a team-leading five shots in a 3-2 overtime win over the Lightning in Game 6 on Wednesday.
Beauvillier scored the game-winning goal and had three shots in Wednesday's 3-2 overtime win over the Lightning in Game 6.
Barzal collected two assists and had two shots Wednesday in a 3-2 overtime win over Tampa Bay in Game 6.
Varlamov is expected to start Wednesday's Game 6 home clash with Tampa Bay, per Erik Erlendsson of LightningInsider.com.
Sorokin came off the bench to stop 19 of 24 shots in an 8-0 loss to Tampa Bay in Game 5 on Monday.
Varlamov allowed three goals on 16 shots before being replaced by Ilya Sorokin in an 8-0 loss to Tampa Bay in Game 5 on Monday.
Varlamov was the first goalie to exit the ice at Monday's game-day skate, Andrew Gross of Newsday reports, indicating he'll tend the twine on the road for Game 5 versus Tampa Bay.
Varlamov kicked out 28 of 30 shots in a 3-2 win over Tampa Bay on Saturday in Game 4.
Pelech produced two assists and four blocks in Saturday's 3-2 win over the Lighting in Game 4.
Martin scored a goal on his only shot and added a trio of assists in a 3-2 win over Tampa Bay in Game 4 on Saturday.