a quail can flush 8-10 feet in the air and can fly a 30+yards. I originally tried to train my first flock to go into a hutch/coop at night by locking them in every night. after about 2 weeks I gave up. I also lost some later that flushed/escaped 2” aviary netting. My original chickens still go to their coop every night, however my chicks that were raised with quail cannot be coerced to sleep in the coop.
If you are referring to coturnix quail, they've been domesticated in captivity for a little too long that they have lost some of their natural instincts - which will explain why you can't get them to come sleep in the hutch/coop. Best to work with other species, but if you are really dedicated to coturnix, try to obtain the original wild coturnix quail and you'll see the difference.
This, I’ve seen my quail fly this high and far. To be fair they were not at their adult weight. They may struggle a little bit more to do that now but honestly? They are strong little birds. They don’t seem inclined to flush. But if they had to I bet they could.
adult quail will mainly flush when startled especially at dusk. females will flush to escape “unwanted male attention”.