A cooler arrangement for connection to an exhaust gas manifold or to an exhaust gas outlet of an engine block of an internal combustion machine includes an exhaust gas cooler comprising at least one exhaust gas duct and a coolant jacket. The exhaust gas cooler is configured to be mounted at the engine block or at the exhaust gas manifold. An exhaust gas recirculation valve is configured to regulate an exhaust gas flow. An actuator is disposed on a side of the exhaust gas recirculation valve opposite the exhaust gas cooler. The actuator is configured to actuate the exhaust gas recirculation valve. A coolant duct segment is arranged between the exhaust gas manifold or the engine block and the actuator. The coolant duct segment is fluidically connected to the coolant jacket.