Django rest framework APIView same code for all methods

As with Django, the APIView works the same way by first going through the dispatch method before deciding which request method to use so you could override that in your own view

def dispatch(self, request, *args, **kwargs):
    return super().dispatch(request, *args, **kwargs)

See dispatch methods for more information.

Maybe you could use django Middleware to meet this requirement.

class CommonResponseMiddleware:

    def __init__(self):
        pass

    def process_request(self, request):

        path = request.path_info.lstrip('/')

        method = request.method.upper()

        if method == "DELETE":
            request.META['REQUEST_METHOD'] = 'DELETE'
            request.DELETE = QueryDict(request.body)
        if method == "PUT":
            request.META['REQUEST_METHOD'] = 'PUT'
            request.PUT = QueryDict(request.body)

        params = {}
        if method == "GET":
            params = request.GET.items()
            # do what ever you want for GET method
        if method == "POST":
            params = request.POST.items()
            # do what ever you want for POST method
        if method == "PUT":
            params = request.PUT.items()
            # do what ever you want for PUT method
        if method == "DELETE":
            params = request.DELETE.items()
            # do what ever you want for DELETE method

then apply this middleware in settings.py.

MIDDLEWARE_CLASSES = [
    'django.middleware.security.SecurityMiddleware',
    'django.contrib.sessions.middleware.SessionMiddleware',
    'django.middleware.common.CommonMiddleware',  # <--here
    #'django.middleware.csrf.CsrfViewMiddleware',
    'django.contrib.auth.middleware.AuthenticationMiddleware',
    'django.middleware.gzip.GZipMiddleware',
    'django.contrib.auth.middleware.SessionAuthenticationMiddleware',
    'authentication.auth.middleware.LoginRequiredMiddleware',
    'django.contrib.messages.middleware.MessageMiddleware',
    'django.middleware.clickjacking.XFrameOptionsMiddleware',
    'core.middleware.CommonResponseMiddleware',
]

You could find more about middleware, hope it could help you.