httpretty solves this problem.
Write a custom test runner where you disable only 3rd party API calls, only in your test suite.
# common/test_runner.py
import httpretty
from django.test.runner import DiscoverRunner
class CustomTestRunner(DiscoverRunner):
    def run_tests(self, *args, **kwargs):
        with httpretty.enabled(allow_net_connect=False):
            return super().run_tests(*args, **kwargs)
add this new test runner to your settings
TEST_RUNNER = "common.test_runner.CustomTestRunner"
And from now on all external API calls have to be mocked or httpretty.errors.UnmockedError will be raised.
Alternatively, if your project uses responses library, responses.activate or responses.start should work similarly.