When testing for exception codes, use self.assertRaises() as a context manager; this gives you access to the raised exception, letting you test the .code attribute:
with self.assertRaises(SystemExit) as cm:
    arg_parse_obj.parse_known_args(['-h'])
self.assertEqual(cm.exception.code, 0)
To 'suppress' or test the output, you'll have to capture either sys.stdout or sys.stderr, depending on the argparse output (help text goes to stdout). You could use a context manager for that:
from contextlib import contextmanager
from StringIO import StringIO
@contextmanager
def capture_sys_output():
    capture_out, capture_err = StringIO(), StringIO()
    current_out, current_err = sys.stdout, sys.stderr
    try:
        sys.stdout, sys.stderr = capture_out, capture_err
        yield capture_out, capture_err
    finally:
        sys.stdout, sys.stderr = current_out, current_err
and use these as:
with self.assertRaises(SystemExit) as cm:
    with capture_sys_output() as (stdout, stderr):
        arg_parse_obj.parse_known_args(['-h'])
self.assertEqual(cm.exception.code, 0)
self.assertEqual(stderr.getvalue(), '')
self.assertEqual(stdout.getvalue(), 'Some help value printed')
I nested the context managers here, but in Python 2.7 and newer you can also combine them into one line; this tends to get beyond the recommended 79 character limit in a hurry though.