Just use the Celery task within your API view:

class MyApiView(View):
    def get(self, *args, *kwargs):
        request_data = json.loads(request.body)
        arguments = do_some_logic(request_data)
        my_celery_task.delay(arguments)  # Queue a worker task
        return JsonResponse({'status': 'STARTED'})

Your worker task will run asynchronously, while your API call will return immediately.