Fan in my furnace will not turn on in the manual position
It depends on how many wires your thermostat has.
If you only have 2 or 3 wires it is 100% normal for there to be No connection to turn on the fan.
If you have more then it would be common to have a fan connected to the thermostat.
It also depends on the model of Goodman some are only 2 wire units.
A bypass switch can be added at the furnace location quite easily I have done this many times.