Assuming the structures were opened from mmCIF files, then the following code would write the structure names and resolutions to a file named 'resolutions.txt' on your Desktop:

from chimerax.atomic import all_atomic_structures

from chimerax.mmcif.mmcif import resolution

from os.path import expanduser

with open(expanduser("~/Desktop/resolutions.txt"), "wt") as f:

for s in all_atomic_structures(session):

res_info = resolution(s)

if res_info is None:

res_info = "no resolution info"

print(f"{s.name} {res_info}", file=f)

I've attached the above as a file named res.py.  You run the code just by opening the file with the "open" command or the File→Open dialog.  You could also extract resolution info from a PDB, but that's a lot more complicated because there's no convenient "resolution" routine to use; you have to root around in various header records to get the resolution value.  You can see code that does that here: https://github.com/RBVI/ChimeraX/blob/develop/src/bundles/pdb/src/pdb.py (lines 639-674).