Whether you can eat an old chicken after it stops laying eggs depends on several factors, including the age of the chicken, its overall health, and how it has been raised and cared for. 

Older chickens, especially those that have reached the end of their productive laying years, tend to have tougher meat compared to younger birds. This is because as chickens age, their muscles develop more connective tissue, which can make the meat tougher and less tender. However, this doesn't necessarily mean that the meat is inedible.

Here are some considerations:

1. **Cooking method:** Tougher cuts of meat can be made more tender through slow cooking methods such as braising, stewing, or roasting. These methods help break down the connective tissue and collagen in the meat, resulting in a more tender and flavorful dish.

2. **Age of the chicken:** While older chickens may have tougher meat, the age at which a chicken is considered "old" can vary. Some backyard chicken keepers may choose to butcher their chickens for meat after they stop laying eggs, while others may prefer to keep them as pets or allow them to live out their natural lives. If you're considering eating an old chicken, it's important to assess its overall health and condition before doing so.

3. **Nutritional value:** Older chickens may have less tender meat, but they can still provide valuable nutrients. Chicken meat is a good source of protein, vitamins, and minerals, regardless of the age of the bird. However, older chickens may have less fat and more muscle, which can affect the taste and texture of the meat.

4. **Preparation:** Proper preparation techniques, such as marinating, brining, or using tenderizing methods, can help improve the texture and flavor of the meat. Additionally, using flavorful seasonings and cooking ingredients can enhance the overall taste of the dish.

Ultimately, whether you choose to eat an old chicken after it stops laying eggs is a personal decision based on your preferences and circumstances. If you're unsure about the quality of the meat or how to properly prepare it, consider seeking advice from experienced poultry farmers or butchers.