Use assign with custom function:
import os
import platform
#https://stackoverflow.com/a/39501288
def creation_date(path_to_file):
    """
    Try to get the date that a file was created, falling back to when it was
    last modified if that isn't possible.
    See http://stackoverflow.com/a/39501288/1709587 for explanation.
    """
    if platform.system() == 'Windows':
        return os.path.getctime(path_to_file)
    else:
        stat = os.stat(path_to_file)
        try:
            return stat.st_birthtime
        except AttributeError:
            # We're probably on Linux. No easy way to get creation dates here,
            # so we'll settle for when its content was last modified.
            return stat.st_mtime
L = [pd.read_csv(f, encoding="utf-16", delimiter = "^").assign(date_created=creation_date(f)) 
               for f in glob.glob('*.csv')]
df = pd.concat(L, ignore_index=True)
df.to_csv("all_together.csv")