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The Permanency spell doesn't have Shillelagh listed, but given it's a Level 1 spell it would be a fair extrapolation to list it at 2,500gp and require a caster level 9th, in line with other Level 1 spells.
However, whether or not you can do this is entirely down to the GM's discretion, though given Magic Fang and Greater Magic Fang are allowed, it seems reasonable.

DethBySquirl |

There's the Beaststrike Club that lets you treat it as a natural weapon for the purposes of effects and expend a Wild Shape to bump its size category, meaning in theory you could have Improved Natural Attack, then cast Strong Jaw, and have a club hitting with quite a whallop. Not quite the same as permanent Shillelagh, though it is the required spell in the casting.