Can an eidolon "sheathe" their weapons?

[Rosc]

We're all familiar with eidolon natural attacks, and how you can shape them to look like natural weapons. But does an eidolon have the abiloty to put these implements away to use their hands?

On one hand, weapon traits like Grapple and Shove suggest this is the case and they need it to make up for having their digits merged to the hilt.

On the other hand, I'd love to play with concepts like an anger phantom dwarf ancestor who wields her favored hammer and clan dagger, or a demon clown who fights with a juggling club and an evil puppet, without being locked out of everything with the manipulate trait. Having your very humanoid-shaped eidolon balking at the prospect of a closed door sort of undercuts my character concept.

[MEATSHED]

The "weapons" eidolons use aren't actually weapons, they are still unarmed strikes mechanically so they don't actually use a hand at all.

[Castilliano]

And if you do "sheathe" them, they're perpetually wielded anyway.

It'd be good to clarify this with your GM, especially in PFS, before it seems like you're pulling shenanigans that you aren't.
One answer is simply to give your Eidelon extra arms so there's no dispute, though note that doesn't give you "extra hands" mechanically, you'd still have two to work with. Using Monks as an example might help others understand.

[Seisho]

It is probably all a matter of flavour
If your Eidolons weapons (who are part of the manifestation of the Eidolon itself, so technically a part of their body) are looking like actual weapons they have probably all the neccessary accessiore (sword sheat, quiver for arrows, a sling to hang the axe in etc)
If you have a construct eidolon there is nothing speaking against retractable claws (or a sheathable weapon it wields)
and of course retractable claws of a cat (beast eidolon) or stuff like that is very possible too

but mechanically it makes no difference at all. If your Eidolon can use manipulate actions, it can use manipulate actions and thats it.
Natural Weapons don't impede that in any way (of course it might look like your Eidolon has incredible manual dexterity from an in universe point of view)

[HumbleGamer]

The phantom may be faster enought do draw weapons while attacking and then sheathe them ( flavor stuff ), but mechanically they'd be unarmed strike shaped the way you want.

The enemies, as well as the allies, would obviously know that you have a free hand to climb, grab an edge, interact, grab, etc... there' no deception involved in these mechanics.

[The Raven Black]

Seisho wrote:

but mechanically it makes no difference at all. If your Eidolon can use manipulate actions, it can use manipulate actions and thats it.

Exactly this. A GM that would forbid manipulate actions when the RAW never states such is adding extra restrictions with zero rules-basis.