No, running the air conditioning in a car generally does not directly affect the transmission. The transmission and the air conditioning system are separate components in a vehicle, and one does not have a direct impact on the other.
The transmission is responsible for transferring power from the engine to the wheels and controlling the vehicle's speed. It operates independently of the air conditioning system.
However, it is worth noting that using the air conditioning can put an additional load on the engine, which indirectly affects the transmission. When the AC compressor is engaged, it requires power from the engine to operate. This power comes from the engine's drive belt, which connects various components, including the AC compressor and the transmission. The additional load from the AC can slightly reduce the amount of power available to the transmission, which may affect overall engine performance and fuel efficiency to some extent. However, these effects are generally minimal and shouldn't cause significant issues with the transmission.
It's important to note that if your vehicle is experiencing transmission problems while using the air conditioning, it is likely unrelated to the AC itself. Transmission issues can be caused by various factors such as mechanical problems, lack of maintenance, or fluid-related issues. In such cases, it's recommended to have your vehicle inspected by a qualified mechanic to diagnose and address the specific transmission problem.