can you not store crafted food anywhere?

[Vertebra]

or can you at least sell it instead of just dropping it on the floor?

[Low]

you can sell it to the head chef walking around the cooking area

[Ascend]

Food acts a bit differently, potions heal you. You should just sell to the head chef so he can sell it to the customers, or do the bounties on the board after lv 9 cooking