The Rangers are a dumpster fire. They need to identify 4 or so players to stick with and tear it down.
Lundqvist obviously would make sense to move but no one is going to want his contract relative to his current performance and he probably prefers to retire a Ranger. That's fine, but we shouldn't stay in "win now mode to try and honor him. Understand we're going to rebuild and if we tear the team in front of him down, he won't perform at a level that hinders us from drafting highly.
McDonagh and Zucc are strong assets that don't have much term left. They should be moved. Zibanejad is on a new contract but I can see there being strong interest, especially if he can keep being a lone bright spot. Fine with keeping him as well. Shattenkirk seems unlikely to be moved so quick after signing but I honestly couldn't care less if he stays or goes. He's a PP specialist, basically.
No one is untouchable, IMO. But if I were deciding who to keep:
1. Shestyorkin: looks like a legit future starter, goalies don't have big trade value, let alone unproven ones, and you're never likely to have a better G prospect in your system. Keep him for sure.
2. Chytil: just drafted, looked very promising just days after turning 18 in NHL action. Probably one of the highest end prospects we've had in a long time.
3. Buchnevich: looks very good, is the type of high end talent Rangers need, still super young so a rebuild coincides with his age.
4. Andersson: like Chytil, just drafted at #7 no less so it's a no brainer to hold onto him and see how his development goes.
5. Skjei: young D with highest upside and already good NHL experience, seems like a leader, should keep.
6. Miller: versatile, aggressive forward who can play all positions and slot anywhere in the top-nine and take any assignment and is young enough to fit into a rebuild.
That's really it for me. Three roster players and three prospects and I wouldn't even say you absolutely have to keep Miller, Buch or even Skjei depending on the deal. Fine with keeping Zibanejad as well. All of the Hayes, Vesey, Nash, Smith, etc. need to go along with the big names.
Can't see Lundqvist going anywhere. Can't see Shattenkirk moving this quickly unless you tell him you're going into rebuild and he says okay, cool, move me too.
Tear it down.