American Shorthair cats are known for their sweet and affectionate personality. However, they may sometimes engage in destructive behavior such as scratching furniture, biting, or urinating outside the litter box. Here are some steps you can take to discourage such behavior:

1. Provide appropriate scratching surfaces: Provide your cat with sturdy scratching posts made of materials like cardboard, sisal rope, or wood. Place them near the furniture that your cat is prone to scratch, and offer incentives like treats when your cat uses the post.
2. Give them enough playtime: Boredom can often lead to destructive behavior in cats. Make sure your cat has enough toys and playtime each day to expend their energy and keep them mentally stimulated.
3. Provide a safe environment: Ensure that your cat has a safe and secure place to call their own. This can include a cozy bed, a sunny spot for lounging, and hiding spots for when they feel scared or stressed.
4. Address any underlying medical issues: Sometimes, destructive behavior in cats can be caused by underlying medical issues, such as pain or urinary tract problems. If your cat’s behavior suddenly changes, take them to the vet to rule out any medical problems.
5. Litter box training: If your cat is urinating outside the litter box, make sure it’s clean and in a convenient location. You may also need to try different types of litter until you find one that your cat prefers.
6. Consistent discipline: If your cat is biting or scratching, consistently say “no” in a firm voice and offer them a toy to bite instead. Consistent discipline can help discourage destructive behavior over time.
7. Consider using pheromone sprays: Pheromone sprays can help reduce stress and anxiety in cats, which can often lead to destructive behavior.

In summary, it’s important to provide American Shorthair cats with appropriate scratching surfaces, playtime, a safe environment, address underlying medical issues, consistent litter box training, discipline, and consider using pheromone sprays. By following these steps, you can help discourage destructive behavior in your American Shorthair cat and foster a happy and healthy relationship.