Trying to locate a wall switch for a ceiling fan.the switch is made by general electric,the number of the switch is 8794720 map 1.the fan it controls is called the quiet one

Universal replacement switches should be just fine, you don't need to search for the exact 8794720. Just check the amps pulled by the fan and buy a switch rated for that or higher.

Can't use replacement switch because this switch has only two wires coming out of it but it operates a light and fan separately.

I can't see what you have so you may be right. I just don't see how you can control both a fan and a light with only two wires. There is a third wire somewheres.

I have the same controller. It control fan speed, fan direction, and variable lighting with just two wires. If I wiggle the knobs, it works once in a will, so I know it is in the switch. I don't know how it run on two wires, but it does.

Now where to find a replacement?