Goldman horazonal furnace initially works but when thermostat is satisfied in intermittently will not come back on.

I really do not know what you mean. Do you mean as the temperature drops at the thermostat, it doesn't come back on, or you cannot get it to come back on by raising the temperature manually at the thermostat? Do you get it to come on manually, or are you referring to the FAN? What kind of thermostat do you have? Please clarify