I was told and then witnessed myself that chickens do not prefer to fly onto something that they cannot get a firm foothold on. They also tend not to flow over, but onto fences. A wobbly fence like the orange construction fencing or silt fencing is better than a short sturdy fence such as a picket fence or corral type fencing.I have the same problem. I have a coop and secure run, but like to let the girls out to range. Despite having a good amount of land and woods, they like the neighbors' yard best and I know the neighbors are not big fans of the chickens (no complaints, but I'm trying not to get to that point). So I created an extended, temporary run (stakes and garden fencing). See similar descriptions in the below thread (sorry, if I clipped it incorrectly). It was cheap and the chickens don't try to get to the top of the wire fencing (after the first attempt -- too wobbly).
https://www.backyardchickens.com/th...d-a-picket-fence.1315827/page-3#post-21451179