Learn Turkish: Yapışmaz tencerede et pişirmeyi tercih ediyorum. - I prefer cooking meat in a non-stick pot.

The verb yapışmak means to stick. By adding the aorist negative suffix -maz, it literally translates to does not stick. When you put this aorist participle directly before a noun like tencere (pot), it functions as an adjective. So yapışmaz tencere is a non-stick pot.

Why does pişirmeyi have the accusative case ending -i?

The verb tercih etmek (to prefer) requires its direct object to be in the accusative case. Here, the object you prefer is the action of cooking. The verbal noun pişirme (cooking) gets the buffer letter -y- and the accusative suffix -i, becoming pişirmeyi.

Why use pişirmeyi instead of just pişmeyi?

The base verb pişmek is intransitive and means to cook on its own (for example, the meat is cooking in the oven). Because you are the one performing the action on the meat, you must use the causative form pişirmek (to cause to cook).

Why isn't et in the accusative case here?

You use the bare form et because you are talking about cooking meat in general. If you said eti pişirmeyi, it would mean you prefer cooking the meat (a specific piece of meat you and the listener already know about).