You can not. Nor can you do it the other way (Ethernet in to Wifi out).
If you can't wire Ethernet directly from your internet router to your AVR, be aware that many companies sell Wifi access point gadgets. These are small devices that connect to your Wifi networking and also have 1 or more Ethernet jacks that can be used to connect nearby devices -- which then think they are directly connected to your router (i.e., they have no knowledge that Wifi is being used to make the connection).
For example, folks using Apple's "AirPort" Wifi hardware do this with "AirPort Exress" devices.