This is from HRS.
Should I give the rabbit items to chew?
Yes. You can give rabbits pieces of the thing they want to chew: their own small towel, for example, providing they aren’t ingesting it. This is especially useful when the attraction is the particular consistency.
Here are some items that are OK for rabbits to chew on:
apple, willow, aspen branches;
pine firewood;
cotton towels
untreated fresh pine lumber attached to cage so it doesn’t move–piece of molding, 1″x2″s, or 2″x4″s;
basket with hay in it–let the bun chew the basket as well as the hay;
compressed alfalfa cubes
Aren’t some woods toxic?
Fruit tree branches, such as, apricot and peach are toxic while attached to the tree but not after they’re cut and dried (a month or more). Lisa McSherry and Rusty Fayter, who package The Busy Bunny baskets, share this research. Another tip they offer for your bunny’s safety is to keep your purchases of imported baskets limited to willow, the only basket material not sprayed with pesticide.